Greatest Common Factor of 8932/80, 9314/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8932/80, 9314/774

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 8932/80,9314/774

Given fractions are 8932/80,9314/774

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 8932,9314

Greatest Common Factor of Numerators i.e. GCF of 8932,9314 is 2 .

LCM of Denominators means LCM of 80,774 as per the given fractions.

LCM of 80,774 is 30960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8932,9314

GCF of Fractions 8932/80,9314/774 is 2/30960

2 8932, 9314
4466, 4657

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

Greatest Common Factor of 8932,9314 By Matching Biggest Common Factor Method

Greatest Common Factor of 8932,9314 By Matching Biggest Common Factor Method

Factors of 8932

List of positive integer factors of 8932 that divides 8932 without a remainder.

1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932

Factors of 9314

List of positive integer factors of 9314 that divides 9314 without a remainder.

1,2,4657,9314

Greatest Common Factor

We found the factors 8932,9314 . The biggest common factor number is the GCF number.
So the greatest common factor 8932,9314 is 2.

Lets's calculate LCM of 80,774

2 80, 774
40, 387

∴ So the LCM of the given numbers is 2 x 40 x 387 = 30960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30960

Therefore, the GCF of Fractions 8932/80,9314/774 is 2/30960

Least Common Multiple of 80,774 with GCF Formula

Least Common Multiple of 80,774 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 80,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,774) = 2

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

GCF(80,774) x common factors =2 x 1 = 2

LCM(80,774) = ( 80 × 774 ) / 2

LCM(80,774) = 61920 / 2

LCM(80,774) = 30960


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 8932/80, 9314/774

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 8932/80, 9314/774?

Answer: GCF of Numerators as per given numbers 8932/80, 9314/774 is

GCF of Numerators i.e. for 8932,9314 is 2

LCM of denominators i.e. for 80,774 is 30960.

Thus, GCF of Fractions is 2/30960.Finally, GCF of Fractions for 8932/80, 9314/774 is 2/30960.