Greatest Common Factor of 980/951, 522/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/951, 522/726

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 980/951,522/726

Given fractions are 980/951,522/726

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 980,522

Greatest Common Factor of Numerators i.e. GCF of 980,522 is 2 .

LCM of Denominators means LCM of 951,726 as per the given fractions.

LCM of 951,726 is 230142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,522

GCF of Fractions 980/951,522/726 is 2/230142

2 980, 522
490, 261

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

Greatest Common Factor of 980,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,522 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 980,522 . The biggest common factor number is the GCF number.
So the greatest common factor 980,522 is 2.

Lets's calculate LCM of 951,726

3 951, 726
317, 242

∴ So the LCM of the given numbers is 3 x 317 x 242 = 230142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/230142

Therefore, the GCF of Fractions 980/951,522/726 is 2/230142

Least Common Multiple of 951,726 with GCF Formula

Least Common Multiple of 951,726 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 951,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,726) = 3

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

GCF(951,726) x common factors =3 x 1 = 3

LCM(951,726) = ( 951 × 726 ) / 3

LCM(951,726) = 690426 / 3

LCM(951,726) = 230142


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 980/951, 522/726

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 980/951, 522/726?

Answer: GCF of Numerators as per given numbers 980/951, 522/726 is

GCF of Numerators i.e. for 980,522 is 2

LCM of denominators i.e. for 951,726 is 230142.

Thus, GCF of Fractions is 2/230142.Finally, GCF of Fractions for 980/951, 522/726 is 2/230142.