Largest no. Divides 509 and 985 leaving 5 as remainder
Answers
Answered by
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
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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