HCF solve sum of factors and multiple
Answers
e will discuss here about the method of h.c.f. (highest common factor).
The highest common factor or HCF of two or more numbers is the greatest number which divides exactly the given numbers.
Let us consider two numbers 16 and 24.
Factor of 16 are → 1, 2, 4, 8, 16
Factor of 24 are → 1, 2, 3, 4, 6, 8, 12, 16
There are three methods of finding H.C.F. of two or more numbers.
1.
I. Find the H.C.F. of 36 and 45.
Factor of 36 are →
1, 2, 3, 4, 6, 9, 12, 18, 36
Factor of 45 are →
1, 3, 5, 9, 15, 45
Let us first list all the factors of each number.
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The common factors of 12, 48 and 7 are 1, 2, 3, 4, 6 and 12.
The highest common factor is 12.
2. H.C.F. by prime factorization method
Let us consider an example.
Find the H.C.F. of 24, 36 and 48.
24 = 2 × 2 × 2 × 3
36 = 2 × 2 × 3 × 3
48 = 2 × 2 × 2 × 2 × 3
H.C.F. by Division Method
Step I: Treat the smallest number i.e., 12 as divisor and the bigger number i.e., 18 as dividend.
Step II: The remainder 6 becomes the divisor and the divisor 12 becomes the dividend.
Step III: Repeat this process till the remainder becomes zero. The last divisor is the H.C.F.
2. Find the H.C.F. of 16, 18 and 24.
3. Find the HCF of 18 and 54 by short division method.
Solution:
Write the number in a row separated by commas, divide the numbers by common prime factors. Factorisation stops when we reach prime numbers which cannot be further divided.
4. Find the HCF of 28 and 36 by short division method.
Solution:
mber by using multiplication method, find the even and odd numbers, find the prime numbers and composite numbers, find the prime factors, find the common factors, find the HCF(highest common factors
Examples on Multiples | Different Types of Questions on Multiples
Examples on multiples on different types of questions on multiples are di
Worksheet on Word Problems on H.C.F. and L.C.M. |Highest Common Fa
Word Problems on H.C.F | H.C.F. Word Problems | Highest Common Factor
Let us consider some of the word problems on H.C.F. (highest common faommon Multiples | How to Find Common Multiples of Two Numbers?
Common multiples of two or more given numbers are the numbers which can exactly be divided by each of the given numbers. Consider the foghest common factor (H.C.F) by prime factorization for
Common Factors | Find the Common Factor | Math Only Math
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1 × 24, 2 × 12, 3 × 8, 4 × 6
he common factors of 36 and 45 are 1, 3, 9.
The highest common factor is 9.
Step-by-step explanation:
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