Greatest Common Factor of 982/78, 755/58, 324/40

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 982/78, 755/58, 324/40

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 982/78,755/58,324/40

Given fractions are 982/78,755/58,324/40

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 982,755,324

Greatest Common Factor of Numerators i.e. GCF of 982,755,324 is 1 .

LCM of Denominators means LCM of 78,58,40 as per the given fractions.

LCM of 78,58,40 is 45240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 982,755,324

GCF of Fractions 982/78,755/58,324/40 is 1/45240

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

Greatest Common Factor of 982,755,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 982,755,324 By Matching Biggest Common Factor Method

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 982,755,324 . The biggest common factor number is the GCF number.
So the greatest common factor 982,755,324 is 1.

Lets's calculate LCM of 78,58,40

2 78, 58, 40
39, 29, 20

∴ So the LCM of the given numbers is 2 x 39 x 29 x 20 = 45240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45240

Therefore, the GCF of Fractions 982/78,755/58,324/40 is 1/45240

Least Common Multiple of 78,58,40 with GCF Formula

Least Common Multiple of 78,58,40 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 78,58,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,58,40) = 2

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

GCF(78,58,40) x common factors =2 x 2 = 4

LCM(78,58,40) = ( 78 × 58 × 40 ) / 4

LCM(78,58,40) = 180960 / 4

LCM(78,58,40) = 45240


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 982/78, 755/58, 324/40

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 982/78, 755/58, 324/40?

Answer: GCF of Numerators as per given numbers 982/78, 755/58, 324/40 is

GCF of Numerators i.e. for 982,755,324 is 1

LCM of denominators i.e. for 78,58,40 is 45240.

Thus, GCF of Fractions is 1/45240.Finally, GCF of Fractions for 982/78, 755/58, 324/40 is 1/45240.