Math, asked by smritigupta9446, 11 months ago

Find the greatest number which divides 99 123 and 183 leaving the same remainder in each case

Answers

Answered by SmartGirl0118
13

hey \: mate

First, we have to find the differences between these three numbers.

(183-123), (123-99), (183-99)

= 60, 24, 84

The word "greatest" denotes that we have to find the HCF.

So, HCF of 60, 24 and 84 will give us our solution.

60= 2×2×3×5

24=2×2×2×3

84=2×2×3×7

HCF= 2×2×3

=12

Hence, the greatest number that divides these three values completely is 12.

Hope it helps ^_^.

Answered by naveenkarthickr1
0

Answer:

12

Step-by-step explanation:

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