Greatest Common Factor of 926/777, 320/888, 830/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 926/777, 320/888, 830/339

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 926/777,320/888,830/339

Given fractions are 926/777,320/888,830/339

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 926,320,830

Greatest Common Factor of Numerators i.e. GCF of 926,320,830 is 2 .

LCM of Denominators means LCM of 777,888,339 as per the given fractions.

LCM of 777,888,339 is 702408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 926,320,830

GCF of Fractions 926/777,320/888,830/339 is 2/702408

2 926, 320, 830
463, 160, 415

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 926,320,830 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,320,830 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Greatest Common Factor

We found the factors 926,320,830 . The biggest common factor number is the GCF number.
So the greatest common factor 926,320,830 is 2.

Lets's calculate LCM of 777,888,339

3 777, 888, 339
37 259, 296, 113
7, 8, 113

∴ So the LCM of the given numbers is 3 x 37 x 7 x 8 x 113 = 702408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/702408

Therefore, the GCF of Fractions 926/777,320/888,830/339 is 2/702408

Least Common Multiple of 777,888,339 with GCF Formula

Least Common Multiple of 777,888,339 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 777,888,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,888,339) = 3

common factors(in case of two or more numbers have common factors) = 111

GCF(777,888,339) x common factors =3 x 111 = 333

LCM(777,888,339) = ( 777 × 888 × 339 ) / 333

LCM(777,888,339) = 233901864 / 333

LCM(777,888,339) = 702408


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 926/777, 320/888, 830/339

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 926/777, 320/888, 830/339?

Answer: GCF of Numerators as per given numbers 926/777, 320/888, 830/339 is

GCF of Numerators i.e. for 926,320,830 is 2

LCM of denominators i.e. for 777,888,339 is 702408.

Thus, GCF of Fractions is 2/702408.Finally, GCF of Fractions for 926/777, 320/888, 830/339 is 2/702408.