Question

Find the greatest number which divides 141, 150, and 278 leaving remainders 7,5, and 6 respectively.​

Answer 1

Answer:

72,72.5,136

Step-by-step explanation:

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Answer 2

Answer:

2

Step-by-step explanation:

$141 - 7 = 134$

$150 - 5 = 145$

$278 - 6 = 272$

Required number = HCF of 134,145 and 272

By Euclid division algorithm,

$145 = 134 \times 1 + 11$

$134 = 11 \times 12 + 2$

$12 = 2 \times 6 + 0$

Again,

$272 = 2 \times 136 + 0$

Hence, HCF is 2

so the required number is 2

But the answer should be more than 7 therefore it seems something wrong in this question.