Greatest Common Factor of 8936/34, 1921/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8936/34, 1921/672

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 8936/34,1921/672

Given fractions are 8936/34,1921/672

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 8936,1921

Greatest Common Factor of Numerators i.e. GCF of 8936,1921 is 1 .

LCM of Denominators means LCM of 34,672 as per the given fractions.

LCM of 34,672 is 11424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8936,1921

GCF of Fractions 8936/34,1921/672 is 1/11424

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

Greatest Common Factor of 8936,1921 By Matching Biggest Common Factor Method

Greatest Common Factor of 8936,1921 By Matching Biggest Common Factor Method

Factors of 8936

List of positive integer factors of 8936 that divides 8936 without a remainder.

1,2,4,8,1117,2234,4468,8936

Factors of 1921

List of positive integer factors of 1921 that divides 1921 without a remainder.

1,17,113,1921

Greatest Common Factor

We found the factors 8936,1921 . The biggest common factor number is the GCF number.
So the greatest common factor 8936,1921 is 1.

Lets's calculate LCM of 34,672

2 34, 672
17, 336

∴ So the LCM of the given numbers is 2 x 17 x 336 = 11424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11424

Therefore, the GCF of Fractions 8936/34,1921/672 is 1/11424

Least Common Multiple of 34,672 with GCF Formula

Least Common Multiple of 34,672 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 34,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,672) = 2

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

GCF(34,672) x common factors =2 x 1 = 2

LCM(34,672) = ( 34 × 672 ) / 2

LCM(34,672) = 22848 / 2

LCM(34,672) = 11424


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8936/34, 1921/672

1. 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.

2. What is the GCF of Fractions for 8936/34, 1921/672?

Answer: GCF of Numerators as per given numbers 8936/34, 1921/672 is

GCF of Numerators i.e. for 8936,1921 is 1

LCM of denominators i.e. for 34,672 is 11424.

Thus, GCF of Fractions is 1/11424.Finally, GCF of Fractions for 8936/34, 1921/672 is 1/11424.