Find the largest number that will divide 546,437,400 having reminder 19,12,9
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527, 425 and 391 are the largest numbers.
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a= bq+ r is the Euclid division lemma
so,.
546=bq+19
546-19= bq
527=bq
now to take HCF of 527 i.e
17×31
437=bq+12
437-12=bq
425=bq
now take HCF of 425 i.e
5×5×17
400=bq+9
400-9=bq
391=bq
now take HCF of 391 i.e
17×23
in all this 17 is common
so 17 is the largest number that will divide 546,437,400.
so,.
546=bq+19
546-19= bq
527=bq
now to take HCF of 527 i.e
17×31
437=bq+12
437-12=bq
425=bq
now take HCF of 425 i.e
5×5×17
400=bq+9
400-9=bq
391=bq
now take HCF of 391 i.e
17×23
in all this 17 is common
so 17 is the largest number that will divide 546,437,400.
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