Greatest Common Factor of 70/521, 910/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/521, 910/279

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 70/521,910/279

Given fractions are 70/521,910/279

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 70,910

Greatest Common Factor of Numerators i.e. GCF of 70,910 is 70 .

LCM of Denominators means LCM of 521,279 as per the given fractions.

LCM of 521,279 is 145359 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,910

GCF of Fractions 70/521,910/279 is 70/145359

2 70, 910
5 35, 455
7 7, 91
1, 13

∴ So the GCF of the given numbers is 2 x 5 x 7 = 70

Greatest Common Factor of 70,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,910 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 70,910 . The biggest common factor number is the GCF number.
So the greatest common factor 70,910 is 70.

Lets's calculate LCM of 521,279

Given numbers has no common factors except 1. So, there LCM is their product i.e 145359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 70/145359

Therefore, the GCF of Fractions 70/521,910/279 is 70/145359

Least Common Multiple of 521,279 with GCF Formula

Least Common Multiple of 521,279 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 521,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,279) = 1

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

GCF(521,279) x common factors =1 x 1 = 1

LCM(521,279) = ( 521 × 279 ) / 1

LCM(521,279) = 145359 / 1

LCM(521,279) = 145359


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 70/521, 910/279

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 70/521, 910/279?

Answer: GCF of Numerators as per given numbers 70/521, 910/279 is

GCF of Numerators i.e. for 70,910 is 70

LCM of denominators i.e. for 521,279 is 145359.

Thus, GCF of Fractions is 70/145359.Finally, GCF of Fractions for 70/521, 910/279 is 70/145359.