Greatest Common Factor of 884/78, 501/82, 562/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 884/78, 501/82, 562/938

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 884/78,501/82,562/938

Given fractions are 884/78,501/82,562/938

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 884,501,562

Greatest Common Factor of Numerators i.e. GCF of 884,501,562 is 1 .

LCM of Denominators means LCM of 78,82,938 as per the given fractions.

LCM of 78,82,938 is 1499862 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 884,501,562

GCF of Fractions 884/78,501/82,562/938 is 1/1499862

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

Greatest Common Factor of 884,501,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,501,562 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 884,501,562 . The biggest common factor number is the GCF number.
So the greatest common factor 884,501,562 is 1.

Lets's calculate LCM of 78,82,938

2 78, 82, 938
39, 41, 469

∴ So the LCM of the given numbers is 2 x 39 x 41 x 469 = 1499862

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1499862

Therefore, the GCF of Fractions 884/78,501/82,562/938 is 1/1499862

Least Common Multiple of 78,82,938 with GCF Formula

Least Common Multiple of 78,82,938 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 78,82,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,82,938) = 2

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

GCF(78,82,938) x common factors =2 x 2 = 4

LCM(78,82,938) = ( 78 × 82 × 938 ) / 4

LCM(78,82,938) = 5999448 / 4

LCM(78,82,938) = 1499862


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 884/78, 501/82, 562/938

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 884/78, 501/82, 562/938?

Answer: GCF of Numerators as per given numbers 884/78, 501/82, 562/938 is

GCF of Numerators i.e. for 884,501,562 is 1

LCM of denominators i.e. for 78,82,938 is 1499862.

Thus, GCF of Fractions is 1/1499862.Finally, GCF of Fractions for 884/78, 501/82, 562/938 is 1/1499862.