Greatest Common Factor of 83/397, 114/138, 672/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/397, 114/138, 672/619

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 83/397,114/138,672/619

Given fractions are 83/397,114/138,672/619

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 83,114,672

Greatest Common Factor of Numerators i.e. GCF of 83,114,672 is 1 .

LCM of Denominators means LCM of 397,138,619 as per the given fractions.

LCM of 397,138,619 is 33912534 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,114,672

GCF of Fractions 83/397,114/138,672/619 is 1/33912534

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

Greatest Common Factor of 83,114,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,114,672 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 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 83,114,672 . The biggest common factor number is the GCF number.
So the greatest common factor 83,114,672 is 1.

Lets's calculate LCM of 397,138,619

Given numbers has no common factors except 1. So, there LCM is their product i.e 33912534

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33912534

Therefore, the GCF of Fractions 83/397,114/138,672/619 is 1/33912534

Least Common Multiple of 397,138,619 with GCF Formula

Least Common Multiple of 397,138,619 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 397,138,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,138,619) = 1

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

GCF(397,138,619) x common factors =1 x 1 = 1

LCM(397,138,619) = ( 397 × 138 × 619 ) / 1

LCM(397,138,619) = 33912534 / 1

LCM(397,138,619) = 33912534


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 83/397, 114/138, 672/619

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 83/397, 114/138, 672/619?

Answer: GCF of Numerators as per given numbers 83/397, 114/138, 672/619 is

GCF of Numerators i.e. for 83,114,672 is 1

LCM of denominators i.e. for 397,138,619 is 33912534.

Thus, GCF of Fractions is 1/33912534.Finally, GCF of Fractions for 83/397, 114/138, 672/619 is 1/33912534.