Question

find the largest number which divides 868 ,651 ,1302 and 1085 exactly .​

Answer 1

Answer: 217

Step-by-step explanation:

The number which divides 868 651 1302 and 1085 must be their HCF...

And the answer is 217...

I found the HCF in the attachment...

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Answer 2

Answer:

The largest number  which divides 868 ,651 ,1302 and 1085 exactly is 217.          

Step-by-step explanation:

Given : The largest number which divides 868 ,651 ,1302 and 1085 exactly.

To find : What is the largest number?

Solution :

We find the HCF i.e. highest common factor of the numbers so that that number is the required number which is divisible by all numbers.

Prime factorization of the numbers,

$868=2 \times 2 \times 7 \times 31$

$651=3 \times 7 \times 31$

$1302=2 \times 3 \times 7 \times 31$

$1085=5\times 7 \times 31$

The HCF of the numbers 868 ,651 ,1302 and 1085 is

$HCF(868,651,1302,1085)=7 \times 31$

$HCF(868,651,1302,1085)=217$

Therefore, The largest number  which divides 868 ,651 ,1302 and 1085 exactly is 217.