Question

find the greatest number which divides 126 150 and 210 leaving remainder 6 in each case

and answer is in step by step explanation​

Answer 1

Answer:

the number is 12

Step-by-step explanation:

The greatest number which divides 126 150 and 210 will be the HCF of those numbers

.·. HCF of 126 150 and 210 is

The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

The factors of 150 are: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The factors of 210 are: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Then the greatest common factor is 6.

but we need a reminder 6 in each case

thus , the number will be 6 + 6 = 12

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