Greatest Common Factor of 30/60, 51/51, 760/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/60, 51/51, 760/815

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 30/60,51/51,760/815

Given fractions are 30/60,51/51,760/815

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 30,51,760

Greatest Common Factor of Numerators i.e. GCF of 30,51,760 is 1 .

LCM of Denominators means LCM of 60,51,815 as per the given fractions.

LCM of 60,51,815 is 166260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,51,760

GCF of Fractions 30/60,51/51,760/815 is 1/166260

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

Greatest Common Factor of 30,51,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,51,760 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 30,51,760 . The biggest common factor number is the GCF number.
So the greatest common factor 30,51,760 is 1.

Lets's calculate LCM of 60,51,815

3 60, 51, 815
5 20, 17, 815
4, 17, 163

∴ So the LCM of the given numbers is 3 x 5 x 4 x 17 x 163 = 166260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/166260

Therefore, the GCF of Fractions 30/60,51/51,760/815 is 1/166260

Least Common Multiple of 60,51,815 with GCF Formula

Least Common Multiple of 60,51,815 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 60,51,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,51,815) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(60,51,815) x common factors =1 x 15 = 15

LCM(60,51,815) = ( 60 × 51 × 815 ) / 15

LCM(60,51,815) = 2493900 / 15

LCM(60,51,815) = 166260


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 30/60, 51/51, 760/815

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 30/60, 51/51, 760/815?

Answer: GCF of Numerators as per given numbers 30/60, 51/51, 760/815 is

GCF of Numerators i.e. for 30,51,760 is 1

LCM of denominators i.e. for 60,51,815 is 166260.

Thus, GCF of Fractions is 1/166260.Finally, GCF of Fractions for 30/60, 51/51, 760/815 is 1/166260.