Greatest Common Factor of 2824/40, 7548/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2824/40, 7548/892

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 2824/40,7548/892

Given fractions are 2824/40,7548/892

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 2824,7548

Greatest Common Factor of Numerators i.e. GCF of 2824,7548 is 4 .

LCM of Denominators means LCM of 40,892 as per the given fractions.

LCM of 40,892 is 8920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2824,7548

GCF of Fractions 2824/40,7548/892 is 4/8920

2 2824, 7548
2 1412, 3774
706, 1887

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

Greatest Common Factor of 2824,7548 By Matching Biggest Common Factor Method

Greatest Common Factor of 2824,7548 By Matching Biggest Common Factor Method

Factors of 2824

List of positive integer factors of 2824 that divides 2824 without a remainder.

1,2,4,8,353,706,1412,2824

Factors of 7548

List of positive integer factors of 7548 that divides 7548 without a remainder.

1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548

Greatest Common Factor

We found the factors 2824,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 2824,7548 is 4.

Lets's calculate LCM of 40,892

2 40, 892
2 20, 446
10, 223

∴ So the LCM of the given numbers is 2 x 2 x 10 x 223 = 8920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8920

Therefore, the GCF of Fractions 2824/40,7548/892 is 4/8920

Least Common Multiple of 40,892 with GCF Formula

Least Common Multiple of 40,892 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 40,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,892) = 4

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

GCF(40,892) x common factors =4 x 1 = 4

LCM(40,892) = ( 40 × 892 ) / 4

LCM(40,892) = 35680 / 4

LCM(40,892) = 8920


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 2824/40, 7548/892

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 2824/40, 7548/892?

Answer: GCF of Numerators as per given numbers 2824/40, 7548/892 is

GCF of Numerators i.e. for 2824,7548 is 4

LCM of denominators i.e. for 40,892 is 8920.

Thus, GCF of Fractions is 4/8920.Finally, GCF of Fractions for 2824/40, 7548/892 is 4/8920.