Greatest Common Factor of 5261/70, 6304/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5261/70, 6304/314

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 5261/70,6304/314

Given fractions are 5261/70,6304/314

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 5261,6304

Greatest Common Factor of Numerators i.e. GCF of 5261,6304 is 1 .

LCM of Denominators means LCM of 70,314 as per the given fractions.

LCM of 70,314 is 10990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5261,6304

GCF of Fractions 5261/70,6304/314 is 1/10990

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5261,6304 By Matching Biggest Common Factor Method

Greatest Common Factor of 5261,6304 By Matching Biggest Common Factor Method

Factors of 5261

List of positive integer factors of 5261 that divides 5261 without a remainder.

1,5261

Factors of 6304

List of positive integer factors of 6304 that divides 6304 without a remainder.

1,2,4,8,16,32,197,394,788,1576,3152,6304

Greatest Common Factor

We found the factors 5261,6304 . The biggest common factor number is the GCF number.
So the greatest common factor 5261,6304 is 1.

Lets's calculate LCM of 70,314

2 70, 314
35, 157

∴ So the LCM of the given numbers is 2 x 35 x 157 = 10990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10990

Therefore, the GCF of Fractions 5261/70,6304/314 is 1/10990

Least Common Multiple of 70,314 with GCF Formula

Least Common Multiple of 70,314 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 70,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,314) = 2

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

GCF(70,314) x common factors =2 x 1 = 2

LCM(70,314) = ( 70 × 314 ) / 2

LCM(70,314) = 21980 / 2

LCM(70,314) = 10990


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 5261/70, 6304/314

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 5261/70, 6304/314?

Answer: GCF of Numerators as per given numbers 5261/70, 6304/314 is

GCF of Numerators i.e. for 5261,6304 is 1

LCM of denominators i.e. for 70,314 is 10990.

Thus, GCF of Fractions is 1/10990.Finally, GCF of Fractions for 5261/70, 6304/314 is 1/10990.