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GCF of 21/402, 31/436

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 21/402, 31/436 i.e 1/87636 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/402, 31/436.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 21/402,31/436?

Given fractions are 21/402,31/436

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 21/402,31/436, numerators are 21,31

Denominators are 402,436

The GCF of 21,31 is 1 .

LCM of 402,436 is 87636.

The greatest common factor of 21/402,31/436 = [GCF of 21,31]/[LCM of 402,436]= 1/87636

Therefore, the GCF of 21/402,31/436 is 1/87636.

Greatest Common Factor of 21,31

To find the highest common factor of 21,31, we have to find the factors of both numbers and list the highest common factor.

The factors of 21 are 1, 3, 7, 21

The factors of 31 are 1, 31

The HCF of 21,31 is 1.

Lets's calculate GCF of 21,31

Greatest Common Factor (GCF) of 21,31 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 21,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,31 By Matching Biggest Common Factor Method

Now, list down the factors of 21

:

1,3,7,21

Now, list down the factors of 31

:

1,31

Greatest Common Factor

We found the factors 21,31 . The biggest common factor number is the GCF number.
So the greatest common factor 21,31 is 1.

Lets's calculate LCM of 402,436

Lowest Common Multiple of 402,436 using Common Division

2 402, 436
201, 218

∴ So the LCM of the given numbers is 2 x 201 x 218 = 87636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87636

Therefore, the GCF of Fractions 21/402,31/436 is 1/87636

Least Common Multiple of 402,436 with GCF Formula

Least Common Multiple of 402,436 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 402,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,436) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(402,436) x common factors =2 x 1 = 2

LCM(402,436) = ( 402 × 436 ) / 2

LCM(402,436) = 175272 / 2

LCM(402,436) = 87636


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 21/402, 31/436

1. What is the HCF of 21,31?

The HCF of 21,31 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 21/402, 31/436?

Answer: GCF of Numerators as per given numbers 21/402, 31/436 is

GCF of Numerators i.e. for 21,31 is 1

LCM of denominators i.e. for 402,436 is 87636.

Thus, GCF of Fractions is 1/87636.Finally, GCF of Fractions for 21/402, 31/436 is 1/87636.