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Please answer my question.... What is linear combination... Express the HCF of 48 and 18 as linear combination..

Posted by Mayank ... 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Vikram Singh 6 years, 10 months ago

Copied from Brainly... → To find : HCF( 18 , 48 ) → To create : Linear Combination ( 18 , 48 , gcd( 18 , 48 )) Steps : ◘ Using Euclid's Algorithm : → 48 = 18 x 2 + 12 → 18 = 12 x 1 + 6 ► Since '6' divides the last system, '6' is the HCF ► Taking things the Anti-Algorithmic way :- → 6 = 18 - 12 = 18 - ( 48 - ( 18 x 2 ) ) = 18 ( 3 ) - 48 → 6 = 18 ( 3 ) + 48 ( -1 ) ♦ Hence, the appropriate Linear Combination is : •→ 6 = 18 ( 3 ) + 48 ( -1 )

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