Greatest Common Factor of 26/686, 624/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/686, 624/948

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 26/686,624/948

Given fractions are 26/686,624/948

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 26,624

Greatest Common Factor of Numerators i.e. GCF of 26,624 is 26 .

LCM of Denominators means LCM of 686,948 as per the given fractions.

LCM of 686,948 is 325164 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,624

GCF of Fractions 26/686,624/948 is 26/325164

2 26, 624
13 13, 312
1, 24

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 26,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,624 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 26,624 . The biggest common factor number is the GCF number.
So the greatest common factor 26,624 is 26.

Lets's calculate LCM of 686,948

2 686, 948
343, 474

∴ So the LCM of the given numbers is 2 x 343 x 474 = 325164

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/325164

Therefore, the GCF of Fractions 26/686,624/948 is 26/325164

Least Common Multiple of 686,948 with GCF Formula

Least Common Multiple of 686,948 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 686,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,948) = 2

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

GCF(686,948) x common factors =2 x 1 = 2

LCM(686,948) = ( 686 × 948 ) / 2

LCM(686,948) = 650328 / 2

LCM(686,948) = 325164


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 26/686, 624/948

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 26/686, 624/948?

Answer: GCF of Numerators as per given numbers 26/686, 624/948 is

GCF of Numerators i.e. for 26,624 is 26

LCM of denominators i.e. for 686,948 is 325164.

Thus, GCF of Fractions is 26/325164.Finally, GCF of Fractions for 26/686, 624/948 is 26/325164.