Question

8. Calculate the HCF of 40 and 68.​

Answer 1

Answer:

Answer is 4

Step-by-step explanation:

Alternatively, the gcf of 40 and 68 can be found using the prime factorization of 40 and 68:

The prime factorization of 40 is: 2 x 2 x 2 x 5.

The prime factorization of 68 is: 2 x 2 x 17.

The prime factors and multiplicities 40 and 68 have in common are: 2 x 2.

2 x 2 is the gcf of 40 and 68.

gcf(40,68) = 4.

Answer 2

HCF of 40 and 68 is 4

Given :

The numbers 40 and 68

To find :

HCF of 40 and 68

Concept :

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

Relation between HCF and LCM :

HCF × LCM = Product of the numbers

Solution :

Step 1 of 3 :

Write down the given numbers

The given numbers are 40 and 68

Step 2 of 3 :

Prime factorise the given numbers

40 = 2 × 2 × 2 × 5

68 = 2 × 2 × 17

Step 3 of 3 :

Find HCF of 40 and 68

We know that for the given two or more numbers HCF is the greatest number that divides each of the numbers

Hence the required HCF

= HCF of 40 and 68

= 2 × 2

= 4

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