Greatest Common Factor of 6875/65, 1690/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6875/65, 1690/540

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 6875/65,1690/540

Given fractions are 6875/65,1690/540

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 6875,1690

Greatest Common Factor of Numerators i.e. GCF of 6875,1690 is 5 .

LCM of Denominators means LCM of 65,540 as per the given fractions.

LCM of 65,540 is 7020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6875,1690

GCF of Fractions 6875/65,1690/540 is 5/7020

5 6875, 1690
1375, 338

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6875,1690 By Matching Biggest Common Factor Method

Greatest Common Factor of 6875,1690 By Matching Biggest Common Factor Method

Factors of 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1,5,11,25,55,125,275,625,1375,6875

Factors of 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1,2,5,10,13,26,65,130,169,338,845,1690

Greatest Common Factor

We found the factors 6875,1690 . The biggest common factor number is the GCF number.
So the greatest common factor 6875,1690 is 5.

Lets's calculate LCM of 65,540

5 65, 540
13, 108

∴ So the LCM of the given numbers is 5 x 13 x 108 = 7020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7020

Therefore, the GCF of Fractions 6875/65,1690/540 is 5/7020

Least Common Multiple of 65,540 with GCF Formula

Least Common Multiple of 65,540 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 65,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,540) = 5

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

GCF(65,540) x common factors =5 x 1 = 5

LCM(65,540) = ( 65 × 540 ) / 5

LCM(65,540) = 35100 / 5

LCM(65,540) = 7020


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 6875/65, 1690/540

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 6875/65, 1690/540?

Answer: GCF of Numerators as per given numbers 6875/65, 1690/540 is

GCF of Numerators i.e. for 6875,1690 is 5

LCM of denominators i.e. for 65,540 is 7020.

Thus, GCF of Fractions is 5/7020.Finally, GCF of Fractions for 6875/65, 1690/540 is 5/7020.