Greatest Common Factor of 1679/610, 8061/5210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1679/610, 8061/5210

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 1679/610,8061/5210

Given fractions are 1679/610,8061/5210

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 1679,8061

Greatest Common Factor of Numerators i.e. GCF of 1679,8061 is 1 .

LCM of Denominators means LCM of 610,5210 as per the given fractions.

LCM of 610,5210 is 317810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1679,8061

GCF of Fractions 1679/610,8061/5210 is 1/317810

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

Greatest Common Factor of 1679,8061 By Matching Biggest Common Factor Method

Greatest Common Factor of 1679,8061 By Matching Biggest Common Factor Method

Factors of 1679

List of positive integer factors of 1679 that divides 1679 without a remainder.

1,23,73,1679

Factors of 8061

List of positive integer factors of 8061 that divides 8061 without a remainder.

1,3,2687,8061

Greatest Common Factor

We found the factors 1679,8061 . The biggest common factor number is the GCF number.
So the greatest common factor 1679,8061 is 1.

Lets's calculate LCM of 610,5210

2 610, 5210
5 305, 2605
61, 521

∴ So the LCM of the given numbers is 2 x 5 x 61 x 521 = 317810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/317810

Therefore, the GCF of Fractions 1679/610,8061/5210 is 1/317810

Least Common Multiple of 610,5210 with GCF Formula

Least Common Multiple of 610,5210 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 610,5210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,5210) = 10

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

GCF(610,5210) x common factors =10 x 1 = 10

LCM(610,5210) = ( 610 × 5210 ) / 10

LCM(610,5210) = 3178100 / 10

LCM(610,5210) = 317810


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 1679/610, 8061/5210

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 1679/610, 8061/5210?

Answer: GCF of Numerators as per given numbers 1679/610, 8061/5210 is

GCF of Numerators i.e. for 1679,8061 is 1

LCM of denominators i.e. for 610,5210 is 317810.

Thus, GCF of Fractions is 1/317810.Finally, GCF of Fractions for 1679/610, 8061/5210 is 1/317810.