यदि 65 और 117 का एचसीएफ 65 एम - 117 के रूप में लिखा जा सकता है तब एम का मान क्या होगा
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Highest Common Factor
Given:
- The numbers 65 and 117
- Their hcf can be expressed as 65m - 117
To find: the value of m
Step-by-step explanation:
Here the numbers are 65 and 117.
Let us find their hcf first by finding their 1 and prime factors.
- 65 = 1 × 5 × 13
- 117 = 1 × 3 × 3 × 13
We see that 1 and 13 are the only common factors of 65 and 117.
Thus hcf is = 1 × 13 = 13
Given, 65m - 117 = 13
or, 65m = 13 + 117
or, 65m = 130
or, m = 2
Answer: the value of m is 2.
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