Greatest Common Factor of 26/392, 660/441, 308/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/392, 660/441, 308/351

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 26/392,660/441,308/351

Given fractions are 26/392,660/441,308/351

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 26,660,308

Greatest Common Factor of Numerators i.e. GCF of 26,660,308 is 2 .

LCM of Denominators means LCM of 392,441,351 as per the given fractions.

LCM of 392,441,351 is 137592 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,660,308

GCF of Fractions 26/392,660/441,308/351 is 2/137592

2 26, 660, 308
13, 330, 154

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 26,660,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,660,308 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 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 26,660,308 . The biggest common factor number is the GCF number.
So the greatest common factor 26,660,308 is 2.

Lets's calculate LCM of 392,441,351

3 392, 441, 351
3 392, 147, 117
7 392, 49, 39
7 56, 7, 39
8, 1, 39

∴ So the LCM of the given numbers is 3 x 3 x 7 x 7 x 8 x 1 x 39 = 137592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/137592

Therefore, the GCF of Fractions 26/392,660/441,308/351 is 2/137592

Least Common Multiple of 392,441,351 with GCF Formula

Least Common Multiple of 392,441,351 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 392,441,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,441,351) = 1

common factors(in case of two or more numbers have common factors) = 441

GCF(392,441,351) x common factors =1 x 441 = 441

LCM(392,441,351) = ( 392 × 441 × 351 ) / 441

LCM(392,441,351) = 60678072 / 441

LCM(392,441,351) = 137592


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 26/392, 660/441, 308/351

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 26/392, 660/441, 308/351?

Answer: GCF of Numerators as per given numbers 26/392, 660/441, 308/351 is

GCF of Numerators i.e. for 26,660,308 is 2

LCM of denominators i.e. for 392,441,351 is 137592.

Thus, GCF of Fractions is 2/137592.Finally, GCF of Fractions for 26/392, 660/441, 308/351 is 2/137592.