Greatest Common Factor of 9222/114, 7419/7977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9222/114, 7419/7977

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 9222/114,7419/7977

Given fractions are 9222/114,7419/7977

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 9222,7419

Greatest Common Factor of Numerators i.e. GCF of 9222,7419 is 3 .

LCM of Denominators means LCM of 114,7977 as per the given fractions.

LCM of 114,7977 is 303126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9222,7419

GCF of Fractions 9222/114,7419/7977 is 3/303126

3 9222, 7419
3074, 2473

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9222,7419 By Matching Biggest Common Factor Method

Greatest Common Factor of 9222,7419 By Matching Biggest Common Factor Method

Factors of 9222

List of positive integer factors of 9222 that divides 9222 without a remainder.

1,2,3,6,29,53,58,87,106,159,174,318,1537,3074,4611,9222

Factors of 7419

List of positive integer factors of 7419 that divides 7419 without a remainder.

1,3,2473,7419

Greatest Common Factor

We found the factors 9222,7419 . The biggest common factor number is the GCF number.
So the greatest common factor 9222,7419 is 3.

Lets's calculate LCM of 114,7977

3 114, 7977
38, 2659

∴ So the LCM of the given numbers is 3 x 38 x 2659 = 303126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/303126

Therefore, the GCF of Fractions 9222/114,7419/7977 is 3/303126

Least Common Multiple of 114,7977 with GCF Formula

Least Common Multiple of 114,7977 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 114,7977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,7977) = 3

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

GCF(114,7977) x common factors =3 x 1 = 3

LCM(114,7977) = ( 114 × 7977 ) / 3

LCM(114,7977) = 909378 / 3

LCM(114,7977) = 303126


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 9222/114, 7419/7977

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 9222/114, 7419/7977?

Answer: GCF of Numerators as per given numbers 9222/114, 7419/7977 is

GCF of Numerators i.e. for 9222,7419 is 3

LCM of denominators i.e. for 114,7977 is 303126.

Thus, GCF of Fractions is 3/303126.Finally, GCF of Fractions for 9222/114, 7419/7977 is 3/303126.