Greatest Common Factor of 260/686, 830/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 260/686, 830/634

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 260/686,830/634

Given fractions are 260/686,830/634

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 260,830

Greatest Common Factor of Numerators i.e. GCF of 260,830 is 10 .

LCM of Denominators means LCM of 686,634 as per the given fractions.

LCM of 686,634 is 217462 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 260,830

GCF of Fractions 260/686,830/634 is 10/217462

2 260, 830
5 130, 415
26, 83

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 260,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,830 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 260,830 . The biggest common factor number is the GCF number.
So the greatest common factor 260,830 is 10.

Lets's calculate LCM of 686,634

2 686, 634
343, 317

∴ So the LCM of the given numbers is 2 x 343 x 317 = 217462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/217462

Therefore, the GCF of Fractions 260/686,830/634 is 10/217462

Least Common Multiple of 686,634 with GCF Formula

Least Common Multiple of 686,634 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 686,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,634) = 2

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

GCF(686,634) x common factors =2 x 1 = 2

LCM(686,634) = ( 686 × 634 ) / 2

LCM(686,634) = 434924 / 2

LCM(686,634) = 217462


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 260/686, 830/634

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 260/686, 830/634?

Answer: GCF of Numerators as per given numbers 260/686, 830/634 is

GCF of Numerators i.e. for 260,830 is 10

LCM of denominators i.e. for 686,634 is 217462.

Thus, GCF of Fractions is 10/217462.Finally, GCF of Fractions for 260/686, 830/634 is 10/217462.