Find the largest number which divides 73 119 Leaving remainder 4in each case
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Given:
The numbers 73 and 119
To find:
Find the largest number which divides 73 119 Leaving remainder 4in each case
Solution:
From given, we have,
The numbers 73 and 119
The largest number which divides 73 119 Leaving remainder 4 in each case is obtained by finding the highest common factor of (73 - 4) and (119 - 4).
Thus we have,
= HCF (73-4, 119-4)
= HCF (69, 115)
The factors of 69 are: 1, 3, 23, 69
The factors of 115 are: 1, 5, 23, 115
Then the greatest common factor is 23.
= 23
Therefore, the largest number which divides 73 119 Leaving remainder 4 in each case is 23.
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