Greatest Common Factor of 767/31, 150/51, 680/19

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 767/31, 150/51, 680/19

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 767/31,150/51,680/19

Given fractions are 767/31,150/51,680/19

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 767,150,680

Greatest Common Factor of Numerators i.e. GCF of 767,150,680 is 1 .

LCM of Denominators means LCM of 31,51,19 as per the given fractions.

LCM of 31,51,19 is 30039 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 767,150,680

GCF of Fractions 767/31,150/51,680/19 is 1/30039

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

Greatest Common Factor of 767,150,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,150,680 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 767,150,680 . The biggest common factor number is the GCF number.
So the greatest common factor 767,150,680 is 1.

Lets's calculate LCM of 31,51,19

Given numbers has no common factors except 1. So, there LCM is their product i.e 30039

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30039

Therefore, the GCF of Fractions 767/31,150/51,680/19 is 1/30039

Least Common Multiple of 31,51,19 with GCF Formula

Least Common Multiple of 31,51,19 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 31,51,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,51,19) = 1

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

GCF(31,51,19) x common factors =1 x 1 = 1

LCM(31,51,19) = ( 31 × 51 × 19 ) / 1

LCM(31,51,19) = 30039 / 1

LCM(31,51,19) = 30039


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 767/31, 150/51, 680/19

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 767/31, 150/51, 680/19?

Answer: GCF of Numerators as per given numbers 767/31, 150/51, 680/19 is

GCF of Numerators i.e. for 767,150,680 is 1

LCM of denominators i.e. for 31,51,19 is 30039.

Thus, GCF of Fractions is 1/30039.Finally, GCF of Fractions for 767/31, 150/51, 680/19 is 1/30039.