How to Find GCF of 21/14, 76/927, 937/217?

GCF of 21/14, 76/927, 937/217

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 21/14, 76/927, 937/217 i.e 1/402318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/14, 76/927, 937/217.

Enter two or more fractions separated by "commas"

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

What is the GCF of 21/14,76/927,937/217?

Given fractions are 21/14,76/927,937/217

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 21/14,76/927,937/217, numerators are 21,76,937

Denominators are 14,927,217

The GCF of 21,76,937 is 1 .

LCM of 14,927,217 is 402318.

The greatest common factor of 21/14,76/927,937/217 = [GCF of 21,76,937]/[LCM of 14,927,217]= 1/402318

Therefore, the GCF of 21/14,76/927,937/217 is 1/402318.

Greatest Common Factor of 21,76,937

To find the highest common factor of 21,76,937, 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 76 are 1, 2, 4, 19, 38, 76

The factors of 937 are 1, 937

The HCF of 21,76,937 is 1.

Lets's calculate GCF of 21,76,937

Greatest Common Factor (GCF) of 21,76,937 By Common Division

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

Greatest Common Factor of 21,76,937 By Matching Biggest Common Factor Method

Now, list down the factors of 21

1,3,7,21

Now, list down the factors of 76

1,2,4,19,38,76

Now, list down the factors of 937

1,937

Greatest Common Factor

We found the factors 21,76,937 . The biggest common factor number is the GCF number.
So the greatest common factor 21,76,937 is 1.

Lets's calculate LCM of 14,927,217

Lowest Common Multiple of 14,927,217 using Common Division

7	14, 927, 217
	2, 927, 31

∴ So the LCM of the given numbers is 7 x 2 x 927 x 31 = 402318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402318

Therefore, the GCF of Fractions 21/14,76/927,937/217 is 1/402318

Least Common Multiple of 14,927,217 with GCF Formula

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

We need to calculate greatest common factor of 14,927,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,927,217) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(14,927,217) x common factors =1 x 7 = 7

LCM(14,927,217) = ( 14 × 927 × 217 ) / 7

LCM(14,927,217) = 2816226 / 7

LCM(14,927,217) = 402318

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 21/14, 76/927, 937/217

1. What is the HCF of 21,76,937?

The HCF of 21,76,937 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 21/14, 76/927, 937/217?

Answer: GCF of Numerators as per given numbers 21/14, 76/927, 937/217 is

GCF of Numerators i.e. for 21,76,937 is 1

LCM of denominators i.e. for 14,927,217 is 402318.

Thus, GCF of Fractions is 1/402318.Finally, GCF of Fractions for 21/14, 76/927, 937/217 is 1/402318.