Greatest Common Factor of 5580/43, 9922/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5580/43, 9922/378

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 5580/43,9922/378

Given fractions are 5580/43,9922/378

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 5580,9922

Greatest Common Factor of Numerators i.e. GCF of 5580,9922 is 2 .

LCM of Denominators means LCM of 43,378 as per the given fractions.

LCM of 43,378 is 16254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5580,9922

GCF of Fractions 5580/43,9922/378 is 2/16254

2 5580, 9922
2790, 4961

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

Greatest Common Factor of 5580,9922 By Matching Biggest Common Factor Method

Greatest Common Factor of 5580,9922 By Matching Biggest Common Factor Method

Factors of 5580

List of positive integer factors of 5580 that divides 5580 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,31,36,45,60,62,90,93,124,155,180,186,279,310,372,465,558,620,930,1116,1395,1860,2790,5580

Factors of 9922

List of positive integer factors of 9922 that divides 9922 without a remainder.

1,2,11,22,41,82,121,242,451,902,4961,9922

Greatest Common Factor

We found the factors 5580,9922 . The biggest common factor number is the GCF number.
So the greatest common factor 5580,9922 is 2.

Lets's calculate LCM of 43,378

Given numbers has no common factors except 1. So, there LCM is their product i.e 16254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16254

Therefore, the GCF of Fractions 5580/43,9922/378 is 2/16254

Least Common Multiple of 43,378 with GCF Formula

Least Common Multiple of 43,378 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 43,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,378) = 1

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

GCF(43,378) x common factors =1 x 1 = 1

LCM(43,378) = ( 43 × 378 ) / 1

LCM(43,378) = 16254 / 1

LCM(43,378) = 16254


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 5580/43, 9922/378

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 5580/43, 9922/378?

Answer: GCF of Numerators as per given numbers 5580/43, 9922/378 is

GCF of Numerators i.e. for 5580,9922 is 2

LCM of denominators i.e. for 43,378 is 16254.

Thus, GCF of Fractions is 2/16254.Finally, GCF of Fractions for 5580/43, 9922/378 is 2/16254.