Greatest Common Factor of 982/303, 8456/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/303, 8456/714

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 982/303,8456/714

Given fractions are 982/303,8456/714

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 982,8456

Greatest Common Factor of Numerators i.e. GCF of 982,8456 is 2 .

LCM of Denominators means LCM of 303,714 as per the given fractions.

LCM of 303,714 is 72114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,8456

GCF of Fractions 982/303,8456/714 is 2/72114

2 982, 8456
491, 4228

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

Greatest Common Factor of 982,8456 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,8456 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

Greatest Common Factor

We found the factors 982,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 982,8456 is 2.

Lets's calculate LCM of 303,714

3 303, 714
101, 238

∴ So the LCM of the given numbers is 3 x 101 x 238 = 72114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72114

Therefore, the GCF of Fractions 982/303,8456/714 is 2/72114

Least Common Multiple of 303,714 with GCF Formula

Least Common Multiple of 303,714 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 303,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(303,714) = 3

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

GCF(303,714) x common factors =3 x 1 = 3

LCM(303,714) = ( 303 × 714 ) / 3

LCM(303,714) = 216342 / 3

LCM(303,714) = 72114


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 982/303, 8456/714

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 982/303, 8456/714?

Answer: GCF of Numerators as per given numbers 982/303, 8456/714 is

GCF of Numerators i.e. for 982,8456 is 2

LCM of denominators i.e. for 303,714 is 72114.

Thus, GCF of Fractions is 2/72114.Finally, GCF of Fractions for 982/303, 8456/714 is 2/72114.