Question

Find the HCF of the following by continued division method. 345,506​

Answer 1

To Find HCF , First we have to find prime factorization of 345 and 506.

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$\bf \Large \implies \: 345 \: = \: 33 \: × \: 5 \: × \: 23$

$\bf \Large \implies \: 506 \: = \: 2 \: \times \: 11 \: \times 23$

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We noticed 23 is common in 345 and 506.

$\:$

So , 23 is the HCF of 345 and 506.

Answer 2

Hope the above pic will help you dear.