What is the greatest number that divides 17, 42 and 93 leaves remainder 4, 3 and 15 respectively.
Answers
Answer:
13
Step-by-step explanation:
17/13 leaves reminder 4
42/13 leaves reminder 3
93 /13 leaves reminder 15
The greatest number that divides 17, 42 and 93 leaves remainder 4, 3 and 15 respectively is 13
Solution:
Given that,
We have to find the greatest number that divides 17, 42 and 93 leaves remainder 4, 3 and 15 respectively
Therefore,
17 - 4 = 13
42 - 3 = 39
93 - 15 = 78
Now find the greatest common factor of 13, 39, 78
The factors of 13 are: 1, 13
The factors of 39 are: 1, 3, 13, 39
The factors of 78 are: 1, 2, 3, 6, 13, 26, 39, 78
Then the greatest common factor is 13
Thus the greatest number that divides 17, 42 and 93 leaves remainder 4, 3 and 15 respectively is 13
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