Question

find the largest number that divide 220,313and 716 leaving reminder 3 in each case ​

Answer 1

Solution:-

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Here, the question have given 3 numbers 220, 313, and 716 and we have to find the largest number that divides all these 3 numbers by leaving remainder 3. So, for finding the answer first of all we will subtract 3 from these 3 numbers and then after we have to find the HCF of the numbers after subtracting 3 from all these 3 numbers in order to find the largest number that divides them all. The common number will be the largest divides 220, 313 and 716 leaving remainder 3 in each case.

ANSWER:-

• 31 is the largest number that divides 220, 313 and 716 leaving remainder 3.

GIVEN:-

• 1st Number = 220
• 2nd Number = 313
• 3rd Number = 716
• Remainder left = 3

TO FIND:-

• Largest number that divide 220, 313 and 716 leaving number 3 = ?

SOLVING STEP BY STEP:-

✦ At first, we are going to subtract 3 from all 3 numbers:-

✰ 220 - 3 = 217

✰ 313 - 3 = 310

✰ 716 - 3 = 713

✦ At second, we are going to find the HCF of all 3 numbers:-

✰ 217 = 7 × 31

✰ 313 = 2 × 5 × 31

✰ 716 = 23 × 31

★ So, the Highest Common Factor of 217, 313 and 716 is 31.

✦ Therefore, here is our answer the largest number that divides 220, 313 and 716 leaving remainder 3 is 31.

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