Greatest Common Factor of 224/337, 8896/6780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 224/337, 8896/6780

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 224/337,8896/6780

Given fractions are 224/337,8896/6780

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 224,8896

Greatest Common Factor of Numerators i.e. GCF of 224,8896 is 32 .

LCM of Denominators means LCM of 337,6780 as per the given fractions.

LCM of 337,6780 is 2284860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 224,8896

GCF of Fractions 224/337,8896/6780 is 32/2284860

2 224, 8896
2 112, 4448
2 56, 2224
2 28, 1112
2 14, 556
7, 278

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 224,8896 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,8896 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 8896

List of positive integer factors of 8896 that divides 8896 without a remainder.

1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896

Greatest Common Factor

We found the factors 224,8896 . The biggest common factor number is the GCF number.
So the greatest common factor 224,8896 is 32.

Lets's calculate LCM of 337,6780

Given numbers has no common factors except 1. So, there LCM is their product i.e 2284860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/2284860

Therefore, the GCF of Fractions 224/337,8896/6780 is 32/2284860

Least Common Multiple of 337,6780 with GCF Formula

Least Common Multiple of 337,6780 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 337,6780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,6780) = 1

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

GCF(337,6780) x common factors =1 x 1 = 1

LCM(337,6780) = ( 337 × 6780 ) / 1

LCM(337,6780) = 2284860 / 1

LCM(337,6780) = 2284860


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 224/337, 8896/6780

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 224/337, 8896/6780?

Answer: GCF of Numerators as per given numbers 224/337, 8896/6780 is

GCF of Numerators i.e. for 224,8896 is 32

LCM of denominators i.e. for 337,6780 is 2284860.

Thus, GCF of Fractions is 32/2284860.Finally, GCF of Fractions for 224/337, 8896/6780 is 32/2284860.