Question

find the greatest number which divides 43 and 91 leaving reminder 7 in each case

Answer 1

Answer:

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Step-by-step explanation:

The highest number that divide 183, 91 and 43 and leave the same remainder is 4.

Step by step explanation :

Hey Mate,

All three numbers are 43, 91 and 183.

The Largest no. is 183

The Smallest no. is 43

Subtract smallest number  from both the highest numbers.

So,

183 - 43 = 140

91 - 43 = 48

91 is smaller than 183, So subtract 91 from 183.

183 - 91 = 92.

Now, we have 3 number : 140, 48 and 92.

So, the HCF of  140, 48 and 92 is 4.

So,

The highest number that divide 183, 91 and 43 and leave the same remainder is 4.