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Find the largest number that divides 245 and 1029 leaving remainder 5 in each case

Posted by Dhananjay Yaduvansi 6 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

The required number is the HCF of (245 - 5) and (1029 - 5) i.e., 240 and 1024.
{tex}1024 = 240 \times 4 + 64{/tex}
{tex}240 = 64 \times 3 + 48{/tex}
{tex}64 = 48 \times 1 + 16{/tex}
{tex}48 = 16 \times 3 + 0{/tex}
{tex}\therefore H C F \text { is } 16{/tex}.

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CBSE > Class 10 > Mathematics