Question

. वह सबसे बड़ी संख्या, जिसके द्वारा 1657 तथा 2037 को भाग करने पर शेष क्रमशः 6 और 5 रहते हैं, होंगी-(Find the
highest number which divides 1657 & 2037 leaving 6&5 as remainder 6 and 5 ?​

Answer 1

Step-by-step explanation:

Here 6 & 5 are remainders of 1657(say A) & 2037(say B) respectively.

To make A and B(dividends) perfectly divisible by a divisor, the remainders should be subtracted from dividends.

Now if we divide the dividend by a divisor, the remainder will be zero, because we made dividends perfectly divisible.

Now the numbers are 1657-6=1651 and 2037-5=2032.

HCF of 1651,2032.

1651)2032(1

1651

-------

381)1651(4

1524

------

127)381(3

381

------

0

-------

So HCF is 127.