Greatest Common Factor of 929/10, 777/31, 306/96

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 929/10, 777/31, 306/96

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 929/10,777/31,306/96

Given fractions are 929/10,777/31,306/96

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 929,777,306

Greatest Common Factor of Numerators i.e. GCF of 929,777,306 is 1 .

LCM of Denominators means LCM of 10,31,96 as per the given fractions.

LCM of 10,31,96 is 14880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 929,777,306

GCF of Fractions 929/10,777/31,306/96 is 1/14880

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

Greatest Common Factor of 929,777,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,777,306 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 929,777,306 . The biggest common factor number is the GCF number.
So the greatest common factor 929,777,306 is 1.

Lets's calculate LCM of 10,31,96

2 10, 31, 96
5, 31, 48

∴ So the LCM of the given numbers is 2 x 5 x 31 x 48 = 14880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14880

Therefore, the GCF of Fractions 929/10,777/31,306/96 is 1/14880

Least Common Multiple of 10,31,96 with GCF Formula

Least Common Multiple of 10,31,96 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 10,31,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,31,96) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,31,96) x common factors =1 x 2 = 2

LCM(10,31,96) = ( 10 × 31 × 96 ) / 2

LCM(10,31,96) = 29760 / 2

LCM(10,31,96) = 14880


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 929/10, 777/31, 306/96

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 929/10, 777/31, 306/96?

Answer: GCF of Numerators as per given numbers 929/10, 777/31, 306/96 is

GCF of Numerators i.e. for 929,777,306 is 1

LCM of denominators i.e. for 10,31,96 is 14880.

Thus, GCF of Fractions is 1/14880.Finally, GCF of Fractions for 929/10, 777/31, 306/96 is 1/14880.