Greatest Common Factor of 420/311, 913/705, 519/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/311, 913/705, 519/627

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 420/311,913/705,519/627

Given fractions are 420/311,913/705,519/627

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 420,913,519

Greatest Common Factor of Numerators i.e. GCF of 420,913,519 is 1 .

LCM of Denominators means LCM of 311,705,627 as per the given fractions.

LCM of 311,705,627 is 45824295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,913,519

GCF of Fractions 420/311,913/705,519/627 is 1/45824295

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

Greatest Common Factor of 420,913,519 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,913,519 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Greatest Common Factor

We found the factors 420,913,519 . The biggest common factor number is the GCF number.
So the greatest common factor 420,913,519 is 1.

Lets's calculate LCM of 311,705,627

3 311, 705, 627
311, 235, 209

∴ So the LCM of the given numbers is 3 x 311 x 235 x 209 = 45824295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45824295

Therefore, the GCF of Fractions 420/311,913/705,519/627 is 1/45824295

Least Common Multiple of 311,705,627 with GCF Formula

Least Common Multiple of 311,705,627 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 311,705,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,705,627) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(311,705,627) x common factors =1 x 3 = 3

LCM(311,705,627) = ( 311 × 705 × 627 ) / 3

LCM(311,705,627) = 137472885 / 3

LCM(311,705,627) = 45824295


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 420/311, 913/705, 519/627

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 420/311, 913/705, 519/627?

Answer: GCF of Numerators as per given numbers 420/311, 913/705, 519/627 is

GCF of Numerators i.e. for 420,913,519 is 1

LCM of denominators i.e. for 311,705,627 is 45824295.

Thus, GCF of Fractions is 1/45824295.Finally, GCF of Fractions for 420/311, 913/705, 519/627 is 1/45824295.