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Use Euclid division algorithm to find the HCF of 504 and 980

Answer» Two positive integers are 980 and 504.Using the Euclid’s division lemma, we get980 = 504 {tex}\\times{/tex} 1 + 476Here the remainder {tex}\\ne{/tex}\xa00,504 = 476 {tex}\\times{/tex} 1 + 28Again the remainder {tex}\\ne{/tex}\xa00,476 = 28 {tex}\\times{/tex} 17 + 0Now the remainder is 0Divisor at this stage i.e. 28 is the HCF of 504 and 980.Hence HCF of 980 and 504 is 28.


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