Question

8. Find the largest number which divides 868, 651, 1302 and 1085 exactly.
please answer step by step and explain it ​

Answer 1

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,

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

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

Answer 2

Answer:

217

Step-by-step explanation:

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 31868=2×2×7×31

651=3 \times 7 \times 31651=3×7×31

1302=2 \times 3 \times 7 \times 311302=2×3×7×31

1085=5\times 7 \times 311085=5×7×31

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

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

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

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