Greatest Common Factor of 5922/220, 2932/7388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5922/220, 2932/7388

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 5922/220,2932/7388

Given fractions are 5922/220,2932/7388

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 5922,2932

Greatest Common Factor of Numerators i.e. GCF of 5922,2932 is 2 .

LCM of Denominators means LCM of 220,7388 as per the given fractions.

LCM of 220,7388 is 406340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5922,2932

GCF of Fractions 5922/220,2932/7388 is 2/406340

2 5922, 2932
2961, 1466

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

Greatest Common Factor of 5922,2932 By Matching Biggest Common Factor Method

Greatest Common Factor of 5922,2932 By Matching Biggest Common Factor Method

Factors of 5922

List of positive integer factors of 5922 that divides 5922 without a remainder.

1,2,3,6,7,9,14,18,21,42,47,63,94,126,141,282,329,423,658,846,987,1974,2961,5922

Factors of 2932

List of positive integer factors of 2932 that divides 2932 without a remainder.

1,2,4,733,1466,2932

Greatest Common Factor

We found the factors 5922,2932 . The biggest common factor number is the GCF number.
So the greatest common factor 5922,2932 is 2.

Lets's calculate LCM of 220,7388

2 220, 7388
2 110, 3694
55, 1847

∴ So the LCM of the given numbers is 2 x 2 x 55 x 1847 = 406340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/406340

Therefore, the GCF of Fractions 5922/220,2932/7388 is 2/406340

Least Common Multiple of 220,7388 with GCF Formula

Least Common Multiple of 220,7388 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 220,7388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,7388) = 4

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

GCF(220,7388) x common factors =4 x 1 = 4

LCM(220,7388) = ( 220 × 7388 ) / 4

LCM(220,7388) = 1625360 / 4

LCM(220,7388) = 406340


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 5922/220, 2932/7388

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 5922/220, 2932/7388?

Answer: GCF of Numerators as per given numbers 5922/220, 2932/7388 is

GCF of Numerators i.e. for 5922,2932 is 2

LCM of denominators i.e. for 220,7388 is 406340.

Thus, GCF of Fractions is 2/406340.Finally, GCF of Fractions for 5922/220, 2932/7388 is 2/406340.