Math, asked by malikanshul4121, 1 year ago

Largest no. Divides 509 and 985 leaving 5 as remainder

Answers

Answered by pranavawasarmol123
3

A=985-5=980

B=509-5=504


By Euclid's division lemma


A=bq+r

980=504*1+476

504=476*1+28

476=28*17+0



HCF=28


Therefore 28 is the highest no which divide 985&409

Answered by TooFree
10

Take away 5 from each of the number:

509 - 5 = 504

985 - 5 = 980


Find the highest common factor of 504 and 980:

504 = 2³ x 3² x 7

980 = 2² x 5 x 7²

HCF = 2² x 7 = 28


Answer: The largest number that divides both 509 and 980 and leaves a remainder 5 is 28


Check:

509 ÷ 28 = 18 remainder 5

985 ÷ 28 = 35 remainder 5


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