Greatest Common Factor of 928/94, 644/95, 412/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 928/94, 644/95, 412/711

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 928/94,644/95,412/711

Given fractions are 928/94,644/95,412/711

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 928,644,412

Greatest Common Factor of Numerators i.e. GCF of 928,644,412 is 4 .

LCM of Denominators means LCM of 94,95,711 as per the given fractions.

LCM of 94,95,711 is 6349230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 928,644,412

GCF of Fractions 928/94,644/95,412/711 is 4/6349230

2 928, 644, 412
2 464, 322, 206
232, 161, 103

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 928,644,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,644,412 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 928,644,412 . The biggest common factor number is the GCF number.
So the greatest common factor 928,644,412 is 4.

Lets's calculate LCM of 94,95,711

Given numbers has no common factors except 1. So, there LCM is their product i.e 6349230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6349230

Therefore, the GCF of Fractions 928/94,644/95,412/711 is 4/6349230

Least Common Multiple of 94,95,711 with GCF Formula

Least Common Multiple of 94,95,711 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 94,95,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,95,711) = 1

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

GCF(94,95,711) x common factors =1 x 1 = 1

LCM(94,95,711) = ( 94 × 95 × 711 ) / 1

LCM(94,95,711) = 6349230 / 1

LCM(94,95,711) = 6349230


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 928/94, 644/95, 412/711

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 928/94, 644/95, 412/711?

Answer: GCF of Numerators as per given numbers 928/94, 644/95, 412/711 is

GCF of Numerators i.e. for 928,644,412 is 4

LCM of denominators i.e. for 94,95,711 is 6349230.

Thus, GCF of Fractions is 4/6349230.Finally, GCF of Fractions for 928/94, 644/95, 412/711 is 4/6349230.