Greatest Common Factor of 83/273, 915/434, 372/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/273, 915/434, 372/988

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 83/273,915/434,372/988

Given fractions are 83/273,915/434,372/988

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 83,915,372

Greatest Common Factor of Numerators i.e. GCF of 83,915,372 is 1 .

LCM of Denominators means LCM of 273,434,988 as per the given fractions.

LCM of 273,434,988 is 643188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,915,372

GCF of Fractions 83/273,915/434,372/988 is 1/643188

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

Greatest Common Factor of 83,915,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,915,372 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 83,915,372 . The biggest common factor number is the GCF number.
So the greatest common factor 83,915,372 is 1.

Lets's calculate LCM of 273,434,988

2 273, 434, 988
7 273, 217, 494
13 39, 31, 494
3, 31, 38

∴ So the LCM of the given numbers is 2 x 7 x 13 x 3 x 31 x 38 = 643188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/643188

Therefore, the GCF of Fractions 83/273,915/434,372/988 is 1/643188

Least Common Multiple of 273,434,988 with GCF Formula

Least Common Multiple of 273,434,988 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 273,434,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(273,434,988) = 1

common factors(in case of two or more numbers have common factors) = 182

GCF(273,434,988) x common factors =1 x 182 = 182

LCM(273,434,988) = ( 273 × 434 × 988 ) / 182

LCM(273,434,988) = 117060216 / 182

LCM(273,434,988) = 643188


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 83/273, 915/434, 372/988

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 83/273, 915/434, 372/988?

Answer: GCF of Numerators as per given numbers 83/273, 915/434, 372/988 is

GCF of Numerators i.e. for 83,915,372 is 1

LCM of denominators i.e. for 273,434,988 is 643188.

Thus, GCF of Fractions is 1/643188.Finally, GCF of Fractions for 83/273, 915/434, 372/988 is 1/643188.