Greatest Common Factor of 472/984, 784/902, 797/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 472/984, 784/902, 797/882

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 472/984,784/902,797/882

Given fractions are 472/984,784/902,797/882

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 472,784,797

Greatest Common Factor of Numerators i.e. GCF of 472,784,797 is 1 .

LCM of Denominators means LCM of 984,902,882 as per the given fractions.

LCM of 984,902,882 is 1591128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 472,784,797

GCF of Fractions 472/984,784/902,797/882 is 1/1591128

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

Greatest Common Factor of 472,784,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,784,797 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 472,784,797 . The biggest common factor number is the GCF number.
So the greatest common factor 472,784,797 is 1.

Lets's calculate LCM of 984,902,882

2 984, 902, 882
3 492, 451, 441
41 164, 451, 147
4, 11, 147

∴ So the LCM of the given numbers is 2 x 3 x 41 x 4 x 11 x 147 = 1591128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1591128

Therefore, the GCF of Fractions 472/984,784/902,797/882 is 1/1591128

Least Common Multiple of 984,902,882 with GCF Formula

Least Common Multiple of 984,902,882 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 984,902,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,902,882) = 2

common factors(in case of two or more numbers have common factors) = 246

GCF(984,902,882) x common factors =2 x 246 = 492

LCM(984,902,882) = ( 984 × 902 × 882 ) / 492

LCM(984,902,882) = 782834976 / 492

LCM(984,902,882) = 1591128


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 472/984, 784/902, 797/882

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 472/984, 784/902, 797/882?

Answer: GCF of Numerators as per given numbers 472/984, 784/902, 797/882 is

GCF of Numerators i.e. for 472,784,797 is 1

LCM of denominators i.e. for 984,902,882 is 1591128.

Thus, GCF of Fractions is 1/1591128.Finally, GCF of Fractions for 472/984, 784/902, 797/882 is 1/1591128.