Greatest Common Factor of 690/60, 975/3138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 690/60, 975/3138

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 690/60,975/3138

Given fractions are 690/60,975/3138

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 690,975

Greatest Common Factor of Numerators i.e. GCF of 690,975 is 15 .

LCM of Denominators means LCM of 60,3138 as per the given fractions.

LCM of 60,3138 is 31380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 690,975

GCF of Fractions 690/60,975/3138 is 15/31380

3 690, 975
5 230, 325
46, 65

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 690,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,975 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 690,975 . The biggest common factor number is the GCF number.
So the greatest common factor 690,975 is 15.

Lets's calculate LCM of 60,3138

2 60, 3138
3 30, 1569
10, 523

∴ So the LCM of the given numbers is 2 x 3 x 10 x 523 = 31380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/31380

Therefore, the GCF of Fractions 690/60,975/3138 is 15/31380

Least Common Multiple of 60,3138 with GCF Formula

Least Common Multiple of 60,3138 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 60,3138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,3138) = 6

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

GCF(60,3138) x common factors =6 x 1 = 6

LCM(60,3138) = ( 60 × 3138 ) / 6

LCM(60,3138) = 188280 / 6

LCM(60,3138) = 31380


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 690/60, 975/3138

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 690/60, 975/3138?

Answer: GCF of Numerators as per given numbers 690/60, 975/3138 is

GCF of Numerators i.e. for 690,975 is 15

LCM of denominators i.e. for 60,3138 is 31380.

Thus, GCF of Fractions is 15/31380.Finally, GCF of Fractions for 690/60, 975/3138 is 15/31380.