Greatest Common Factor of 9422/219, 5164/8480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9422/219, 5164/8480

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 9422/219,5164/8480

Given fractions are 9422/219,5164/8480

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 9422,5164

Greatest Common Factor of Numerators i.e. GCF of 9422,5164 is 2 .

LCM of Denominators means LCM of 219,8480 as per the given fractions.

LCM of 219,8480 is 1857120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9422,5164

GCF of Fractions 9422/219,5164/8480 is 2/1857120

2 9422, 5164
4711, 2582

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

Greatest Common Factor of 9422,5164 By Matching Biggest Common Factor Method

Greatest Common Factor of 9422,5164 By Matching Biggest Common Factor Method

Factors of 9422

List of positive integer factors of 9422 that divides 9422 without a remainder.

1,2,7,14,673,1346,4711,9422

Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1,2,4,1291,2582,5164

Greatest Common Factor

We found the factors 9422,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 9422,5164 is 2.

Lets's calculate LCM of 219,8480

Given numbers has no common factors except 1. So, there LCM is their product i.e 1857120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1857120

Therefore, the GCF of Fractions 9422/219,5164/8480 is 2/1857120

Least Common Multiple of 219,8480 with GCF Formula

Least Common Multiple of 219,8480 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 219,8480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,8480) = 1

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

GCF(219,8480) x common factors =1 x 1 = 1

LCM(219,8480) = ( 219 × 8480 ) / 1

LCM(219,8480) = 1857120 / 1

LCM(219,8480) = 1857120


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 9422/219, 5164/8480

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 9422/219, 5164/8480?

Answer: GCF of Numerators as per given numbers 9422/219, 5164/8480 is

GCF of Numerators i.e. for 9422,5164 is 2

LCM of denominators i.e. for 219,8480 is 1857120.

Thus, GCF of Fractions is 2/1857120.Finally, GCF of Fractions for 9422/219, 5164/8480 is 2/1857120.