Question

(ii) The H.C.F. of 140, 200 and 35 is
(a) 15
(b) 7
(c) 35
(d) 5​

Answer 1

Answer:

35

Step-by-step explanation:

So,there is your answer

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Answer 2

HCF of 140 , 200 and 35 is 5

Given :

The numbers 140 , 200 and 35

To find :

The HCF of 140 , 200 and 35 is

(a) 15

(b) 7

(c) 35

(d) 5

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

Here the given numbers are 140 , 200 and 35

Step 2 of 3 :

Prime factorise the given numbers

140 = 2 × 2 × 5 × 7

200 = 2 × 2 × 5 × 5

35 = 5 × 7

Step 3 of 3 :

Calculate HCF of 140 , 200 and 35

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

HCF of 140 , 200 and 35

= 5

Hence the correct option is (d) 5

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