Question

find the greatest number which divides 2706 7041 and,8250 leaving remainder 6,21 and 42 respectively​

Answer 1

Answer:

8202

ok dear

hope to help you frnd.....

Answer 2

Answer:

GIVEN NUMBERS ➡2706, 7041,8250

THEIR REMAINDERS ➡6, 21,42

➡ IF 2706 IS DIVIDED BY SOME NUMBER , THE REMAINDER WILL BE 6

SUBTRACT 6 FOR FIRST NUMBER

SO.... 2706-6=2700

THEREFORE 2700 CAN DIVISIBLE BY THAT NUMBER

➡IF 7041 IS DIVIDED BY SOME NUMBER , THE REMAINDER WILL BE 21

SUBTRACT 21 FOR SECOND NUMBER

SO....7041-21=7020

THEREFORE 7020 CAN DIVISIBLE BY THAT NUMBER

➡IF 8250 IS DIVISIBLE BY SOME NUMBER, THE REMAINDER WILL BE 42

SUBTRACT 42 FOR THIRD NUMBER

SO.... 8250-42=8208

THEREFORE 8208 CAN DIVISIBLE BY THAT NUMBER

SO.... NOW TAKE HCF FOR 3 NUMBERS.....

2700=2²×3³×5²

7041=2²×3³×5×13

8208=2⁴×3³

BY THESE WE CAN SEE THAT 8028 IS THE GREATEST NUMBER