Question

The greatest integer that divides 358, 376, and 232 leaving the same remainder 3 in each case is ___

Answer 1

18 is the greatest integer that divides 358, 376, 232

Answer 2

❥ QuestioN:

↝The greatest integer that divides 358, 376, and 232 leaving the same remainder 3 in each case is ___

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6✔

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☞ Take the difference between two numbers

376 - 358 = 18;

376 - 334 = 42;

358 - 334 = 24;

☞ By taking the HCF of 18, 42, 24.

$\bold\red {18}$ = 2 x3 x 3

$\bold\red {42}$ = 2 x 3 x 7

$\bold\red {24}$ = 2 x 2 x 2 x 3

$\Large\bold{\green∴\pink{HCF} =}$ 2 x 3 = 6

☞ Hence the required number is 6.

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