Greatest Common Factor of 26/85, 79/90, 672/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/85, 79/90, 672/306

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 26/85,79/90,672/306

Given fractions are 26/85,79/90,672/306

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 26,79,672

Greatest Common Factor of Numerators i.e. GCF of 26,79,672 is 1 .

LCM of Denominators means LCM of 85,90,306 as per the given fractions.

LCM of 85,90,306 is 1530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,79,672

GCF of Fractions 26/85,79/90,672/306 is 1/1530

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

Greatest Common Factor of 26,79,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,79,672 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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 26,79,672 . The biggest common factor number is the GCF number.
So the greatest common factor 26,79,672 is 1.

Lets's calculate LCM of 85,90,306

2 85, 90, 306
3 85, 45, 153
3 85, 15, 51
5 85, 5, 17
17 17, 1, 17
1, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 17 x 1 x 1 x 1 = 1530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1530

Therefore, the GCF of Fractions 26/85,79/90,672/306 is 1/1530

Least Common Multiple of 85,90,306 with GCF Formula

Least Common Multiple of 85,90,306 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 85,90,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,90,306) = 1

common factors(in case of two or more numbers have common factors) = 1530

GCF(85,90,306) x common factors =1 x 1530 = 1530

LCM(85,90,306) = ( 85 × 90 × 306 ) / 1530

LCM(85,90,306) = 2340900 / 1530

LCM(85,90,306) = 1530


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 26/85, 79/90, 672/306

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 26/85, 79/90, 672/306?

Answer: GCF of Numerators as per given numbers 26/85, 79/90, 672/306 is

GCF of Numerators i.e. for 26,79,672 is 1

LCM of denominators i.e. for 85,90,306 is 1530.

Thus, GCF of Fractions is 1/1530.Finally, GCF of Fractions for 26/85, 79/90, 672/306 is 1/1530.