How to Find GCF of 8951/792, 6937/3246?

GCF of 8951/792, 6937/3246

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 8951/792, 6937/3246 i.e 1/428472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8951/792, 6937/3246.

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 8951/792,6937/3246?

Given fractions are 8951/792,6937/3246

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 8951/792,6937/3246, numerators are 8951,6937

Denominators are 792,3246

The GCF of 8951,6937 is 1 .

LCM of 792,3246 is 428472.

The greatest common factor of 8951/792,6937/3246 = [GCF of 8951,6937]/[LCM of 792,3246]= 1/428472

Therefore, the GCF of 8951/792,6937/3246 is 1/428472.

Greatest Common Factor of 8951,6937

To find the highest common factor of 8951,6937, we have to find the factors of both numbers and list the highest common factor.

The factors of 8951 are 1, 8951

The factors of 6937 are 1, 7, 991, 6937

The HCF of 8951,6937 is 1.

Lets's calculate GCF of 8951,6937

Greatest Common Factor (GCF) of 8951,6937 By Common Division

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

Greatest Common Factor of 8951,6937 By Matching Biggest Common Factor Method

Now, list down the factors of 8951

1,8951

Now, list down the factors of 6937

1,7,991,6937

Greatest Common Factor

We found the factors 8951,6937 . The biggest common factor number is the GCF number.
So the greatest common factor 8951,6937 is 1.

Lets's calculate LCM of 792,3246

Lowest Common Multiple of 792,3246 using Common Division

2	792, 3246
3	396, 1623
	132, 541

∴ So the LCM of the given numbers is 2 x 3 x 132 x 541 = 428472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/428472

Therefore, the GCF of Fractions 8951/792,6937/3246 is 1/428472

Least Common Multiple of 792,3246 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 792,3246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,3246) = 6

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

GCF(792,3246) x common factors =6 x 1 = 6

LCM(792,3246) = ( 792 × 3246 ) / 6

LCM(792,3246) = 2570832 / 6

LCM(792,3246) = 428472

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FAQs on GCF of Fractions of 8951/792, 6937/3246

1. What is the HCF of 8951,6937?

The HCF of 8951,6937 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 8951/792, 6937/3246?

Answer: GCF of Numerators as per given numbers 8951/792, 6937/3246 is

GCF of Numerators i.e. for 8951,6937 is 1

LCM of denominators i.e. for 792,3246 is 428472.

Thus, GCF of Fractions is 1/428472.Finally, GCF of Fractions for 8951/792, 6937/3246 is 1/428472.