CBSE Class 10 Answered
if the hcf of 408 and 1032 is expressible in the form 1032m-408×5 , find m
Asked by sitalagrawal969 | 21 Jan, 2024, 11:48: AM
Expert Answer
1032 = 2 × 516 = 4 × 258 = 8 × 129 = 24 × 43
408 = 2 × 204 = 4 × 102 = 8 × 51 = 24 × 17
Hence HCF of 1032 and 408 = 24
If HCF is written as
(1032 m ) - ( 408 × 5 ) = 24
( 24 × 43 × m ) - ( 24 × 17 × 5) = 24
By dividing both sides by 24, we get
43m -85 = 1
from above expression, we get m = 2
Answered by Thiyagarajan K | 21 Jan, 2024, 12:35: PM
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