Greatest Common Factor of 4412/557, 6912/9682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4412/557, 6912/9682

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 4412/557,6912/9682

Given fractions are 4412/557,6912/9682

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 4412,6912

Greatest Common Factor of Numerators i.e. GCF of 4412,6912 is 4 .

LCM of Denominators means LCM of 557,9682 as per the given fractions.

LCM of 557,9682 is 5392874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4412,6912

GCF of Fractions 4412/557,6912/9682 is 4/5392874

2 4412, 6912
2 2206, 3456
1103, 1728

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4412,6912 By Matching Biggest Common Factor Method

Greatest Common Factor of 4412,6912 By Matching Biggest Common Factor Method

Factors of 4412

List of positive integer factors of 4412 that divides 4412 without a remainder.

1,2,4,1103,2206,4412

Factors of 6912

List of positive integer factors of 6912 that divides 6912 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,128,144,192,216,256,288,384,432,576,768,864,1152,1728,2304,3456,6912

Greatest Common Factor

We found the factors 4412,6912 . The biggest common factor number is the GCF number.
So the greatest common factor 4412,6912 is 4.

Lets's calculate LCM of 557,9682

Given numbers has no common factors except 1. So, there LCM is their product i.e 5392874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5392874

Therefore, the GCF of Fractions 4412/557,6912/9682 is 4/5392874

Least Common Multiple of 557,9682 with GCF Formula

Least Common Multiple of 557,9682 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 557,9682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,9682) = 1

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

GCF(557,9682) x common factors =1 x 1 = 1

LCM(557,9682) = ( 557 × 9682 ) / 1

LCM(557,9682) = 5392874 / 1

LCM(557,9682) = 5392874


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 4412/557, 6912/9682

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 4412/557, 6912/9682?

Answer: GCF of Numerators as per given numbers 4412/557, 6912/9682 is

GCF of Numerators i.e. for 4412,6912 is 4

LCM of denominators i.e. for 557,9682 is 5392874.

Thus, GCF of Fractions is 4/5392874.Finally, GCF of Fractions for 4412/557, 6912/9682 is 4/5392874.