Greatest Common Factor of 896/27, 924/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 896/27, 924/841

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 896/27,924/841

Given fractions are 896/27,924/841

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 896,924

Greatest Common Factor of Numerators i.e. GCF of 896,924 is 28 .

LCM of Denominators means LCM of 27,841 as per the given fractions.

LCM of 27,841 is 22707 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 896,924

GCF of Fractions 896/27,924/841 is 28/22707

2 896, 924
2 448, 462
7 224, 231
32, 33

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 896,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,924 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 896,924 . The biggest common factor number is the GCF number.
So the greatest common factor 896,924 is 28.

Lets's calculate LCM of 27,841

Given numbers has no common factors except 1. So, there LCM is their product i.e 22707

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/22707

Therefore, the GCF of Fractions 896/27,924/841 is 28/22707

Least Common Multiple of 27,841 with GCF Formula

Least Common Multiple of 27,841 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 27,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,841) = 1

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

GCF(27,841) x common factors =1 x 1 = 1

LCM(27,841) = ( 27 × 841 ) / 1

LCM(27,841) = 22707 / 1

LCM(27,841) = 22707


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 896/27, 924/841

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 896/27, 924/841?

Answer: GCF of Numerators as per given numbers 896/27, 924/841 is

GCF of Numerators i.e. for 896,924 is 28

LCM of denominators i.e. for 27,841 is 22707.

Thus, GCF of Fractions is 28/22707.Finally, GCF of Fractions for 896/27, 924/841 is 28/22707.