So what happens if you are given a much larger number? How would you even begin to find all of the factors then? Let us show you a simple method. We have used the example below to find the highest common factors for the numbers and Divide the bigger number by the smaller one Divide the original smaller number by the remainder from step 1 Divide the divisor of step 2 with the remainder of step 2 The last divisor is the highest common factor.
In this case, it's If two numbers have a highest common factor of 9, what could the two numbers be? We have a great selection of worksheets aimed specifically at getting to grips with factors, division and prime numbers. Year 4 — Spot factor pairs. Year 4 — Using factor pairs to divide. Year 5 — Identify factors and multiples. Year 7 — Prime factorisation. Used by thousands of teachers: games, worksheets, daily activities and more!
This blog is part of our series of blogs designed for parents supporting home learning and looking for home learning resources during the Covid epidemic. Download this resource pack aimed at helping pupils identify number properties and relationships in advance of SATs. It includes teaching guidance, pupil practice sheets and activity slides.
A factor is a number that fits exactly into another number. For example, 5 is a factor of 10; 7 is a factor of One way of helping children remember factors is to think of factories — factories make things, and factors make up numbers. Another way is to think of them in pairs factors are friends — they come in pairs! Factors are whole numbers rather than decimals. A common factor is a factor that is shared by multiple numbers. Another example would be the common factors of 8 and 12 which are 1, 2 and 4.
A visual way to see common factors is by using factor trees for each of the numbers you are trying to find common factors for. This will allow you to see both the larger numbers and smaller numbers which are common. Another method is writing out each of the factors for the given numbers and underlining any factors which are common. The highest common factor is the largest whole number which is shared by given numbers.
For example, common factors of 10 and 20 are 1, 2, 5 and 10, but the highest of those is 10; therefore, the highest common factor of 10 and 20 is It is a common factor when it is a factor of two or more numbers. Example: The common factors of 15, 30 and Factors of 15 are 1, 3, 5, and 15 Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30 Factors of are 1, 3, 5, 7, 15, 21, 35 and The factors that are common to all three numbers are 1, 3, 5 and 15 In other words, the common factors of 15, 30 and are 1, 3, 5 and The "Greatest Common Factor" is the largest of the common factors of two or more numbers.
Example: How can we simplify 12 30? The Greatest Common Factor of 12 and 30 is 6. We will find the HCF of 60 and Let's represent the numbers using the prime factorization. Now, HCF of 60 and 90 will the product of common prime factors, which are, 2, 3, and 5. In this method, we divide the larger number by the smaller number and check the remainder. Then, we make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
We continue the long division process till we get the remainder as 0 and the last divisor will be the HCF of those two numbers. Let's find the HCF of and using the division method. Among the given two numbers, is the larger number, and is the smaller number.
We divide by and check the remainder. Here, the remainder is Make the remainder as the divisor and the divisor as the dividend and perform the long division again. We will continue this process till we get the remainder as 0 and the last divisor will is 18 which is the HCF of and Example: Find the HCF of , , and Solution: First, we will find the HCF of the two numbers and We know that a prime number has only two factors, 1 and itself.
Let us consider two prime numbers 2 and 7, and find their HCF by listing their factors. The factors of 2 are1 and2 and the factors of7 are 1 and 7. We can see that the only common factor of 2 and 7 is 1 and hence, this is the HCF.
So, the HCF of prime numbers is always equal to 1. Now, you already know that the HCF of a and b is the highest common factor of the numbers a and b. Let us have the look at the important properties of HCF:. HCF of two or more numbers is the highest common factor of the given numbers.
It is found by multiplying the common prime factors of the given numbers. Whereas the least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.
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