Greatest Common Factor of 561/68, 685/60, 103/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 561/68, 685/60, 103/875

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 561/68,685/60,103/875

Given fractions are 561/68,685/60,103/875

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 561,685,103

Greatest Common Factor of Numerators i.e. GCF of 561,685,103 is 1 .

LCM of Denominators means LCM of 68,60,875 as per the given fractions.

LCM of 68,60,875 is 178500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 561,685,103

GCF of Fractions 561/68,685/60,103/875 is 1/178500

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

Greatest Common Factor of 561,685,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 561,685,103 By Matching Biggest Common Factor Method

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 561,685,103 . The biggest common factor number is the GCF number.
So the greatest common factor 561,685,103 is 1.

Lets's calculate LCM of 68,60,875

2 68, 60, 875
2 34, 30, 875
5 17, 15, 875
17, 3, 175

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 3 x 175 = 178500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178500

Therefore, the GCF of Fractions 561/68,685/60,103/875 is 1/178500

Least Common Multiple of 68,60,875 with GCF Formula

Least Common Multiple of 68,60,875 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 68,60,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,60,875) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(68,60,875) x common factors =1 x 20 = 20

LCM(68,60,875) = ( 68 × 60 × 875 ) / 20

LCM(68,60,875) = 3570000 / 20

LCM(68,60,875) = 178500


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 561/68, 685/60, 103/875

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 561/68, 685/60, 103/875?

Answer: GCF of Numerators as per given numbers 561/68, 685/60, 103/875 is

GCF of Numerators i.e. for 561,685,103 is 1

LCM of denominators i.e. for 68,60,875 is 178500.

Thus, GCF of Fractions is 1/178500.Finally, GCF of Fractions for 561/68, 685/60, 103/875 is 1/178500.