Question

find the largest no. that divides 92 and 74 leaving 2 as remainder .
plz explain this according to 6th class​

Answer 1

18

To find:-

• Largest number that divides 92 and 74 leaving 2 as remainder.

Solution:-

Here,

92 and 74 on dividing with any largest number leaves remainder 2 :-

So,

• 92 - 2 = 90
• 74 - 2 = 72

We have to find HCF to get that largest number:-

★ HCF of 90 and 72 :-

• 90 = 2 × 3 × 3 × 5
• 72 = 2 × 2 × 2 × 3 × 3

Therefore, HCF of 90 and 72 = 2 × 3 × 3 = 18

Therefore, The Largest required number is 18.

★ Hence Solved!!

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