Greatest Common Factor of 6851/814, 5161/7510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6851/814, 5161/7510

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 6851/814,5161/7510

Given fractions are 6851/814,5161/7510

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 6851,5161

Greatest Common Factor of Numerators i.e. GCF of 6851,5161 is 13 .

LCM of Denominators means LCM of 814,7510 as per the given fractions.

LCM of 814,7510 is 3056570 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6851,5161

GCF of Fractions 6851/814,5161/7510 is 13/3056570

13 6851, 5161
527, 397

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 6851,5161 By Matching Biggest Common Factor Method

Greatest Common Factor of 6851,5161 By Matching Biggest Common Factor Method

Factors of 6851

List of positive integer factors of 6851 that divides 6851 without a remainder.

1,13,17,31,221,403,527,6851

Factors of 5161

List of positive integer factors of 5161 that divides 5161 without a remainder.

1,13,397,5161

Greatest Common Factor

We found the factors 6851,5161 . The biggest common factor number is the GCF number.
So the greatest common factor 6851,5161 is 13.

Lets's calculate LCM of 814,7510

2 814, 7510
407, 3755

∴ So the LCM of the given numbers is 2 x 407 x 3755 = 3056570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/3056570

Therefore, the GCF of Fractions 6851/814,5161/7510 is 13/3056570

Least Common Multiple of 814,7510 with GCF Formula

Least Common Multiple of 814,7510 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 814,7510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,7510) = 2

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

GCF(814,7510) x common factors =2 x 1 = 2

LCM(814,7510) = ( 814 × 7510 ) / 2

LCM(814,7510) = 6113140 / 2

LCM(814,7510) = 3056570


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 6851/814, 5161/7510

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 6851/814, 5161/7510?

Answer: GCF of Numerators as per given numbers 6851/814, 5161/7510 is

GCF of Numerators i.e. for 6851,5161 is 13

LCM of denominators i.e. for 814,7510 is 3056570.

Thus, GCF of Fractions is 13/3056570.Finally, GCF of Fractions for 6851/814, 5161/7510 is 13/3056570.