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प्रश्न
The H.C.F of 85 and 238 is expressible in the form 85m -238. Find the value of m.
योग
उत्तर
Using Euclid's division algorithm,
238 = 85 × 2 + 68
85 = 68 × 1 + 17
68 = 17 × 4 + 0
Since the remainder has come to zero, the HCF of the given numbers is 17.
From the given data, HCF is written as:
85m − 238 = 17
85m = 17 + 238
85m = 255
m = `255/85`
∴ m = 3
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