Question

The HCF of 2019/2020, 2020/4040​

Answer 1

SOLUTION

TO DETERMINE

The HCF of

$\displaystyle \: \sf{ \frac{2019}{2020} \: \: \: and \: \: \: \frac{2020}{4040 } }$

CONCEPT TO BE IMPLEMENTED

If two fractions are given then their HCF

$\displaystyle \sf{HCF = \: \: \frac{HCF \: of \: Numerators }{LCM \: of \: Denominators} }$

EVALUATION

Here the given two fractions are

$\displaystyle \: \sf{ \frac{2019}{2020} \: \: \: and \: \: \: \frac{2020}{4040 } }$

Numerators are 2019 and 2020

HCF of two numerators = 1

Denominators are 2020 and 4040

LCM of two numerators = 4040

Hence

$\displaystyle \sf{HCF = \: \: \frac{HCF \: of \: Numerators }{LCM \: of \: Denominators} }$

$\displaystyle \sf{= \frac{1}{4040} }$

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