Greatest Common Factor of 675/26, 711/9714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/26, 711/9714

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 675/26,711/9714

Given fractions are 675/26,711/9714

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 675,711

Greatest Common Factor of Numerators i.e. GCF of 675,711 is 9 .

LCM of Denominators means LCM of 26,9714 as per the given fractions.

LCM of 26,9714 is 126282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,711

GCF of Fractions 675/26,711/9714 is 9/126282

3 675, 711
3 225, 237
75, 79

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 675,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,711 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 675,711 . The biggest common factor number is the GCF number.
So the greatest common factor 675,711 is 9.

Lets's calculate LCM of 26,9714

2 26, 9714
13, 4857

∴ So the LCM of the given numbers is 2 x 13 x 4857 = 126282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/126282

Therefore, the GCF of Fractions 675/26,711/9714 is 9/126282

Least Common Multiple of 26,9714 with GCF Formula

Least Common Multiple of 26,9714 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 26,9714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,9714) = 2

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

GCF(26,9714) x common factors =2 x 1 = 2

LCM(26,9714) = ( 26 × 9714 ) / 2

LCM(26,9714) = 252564 / 2

LCM(26,9714) = 126282


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 675/26, 711/9714

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 675/26, 711/9714?

Answer: GCF of Numerators as per given numbers 675/26, 711/9714 is

GCF of Numerators i.e. for 675,711 is 9

LCM of denominators i.e. for 26,9714 is 126282.

Thus, GCF of Fractions is 9/126282.Finally, GCF of Fractions for 675/26, 711/9714 is 9/126282.