Greatest Common Factor of 311/672, 920/609, 514/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 311/672, 920/609, 514/716

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 311/672,920/609,514/716

Given fractions are 311/672,920/609,514/716

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 311,920,514

Greatest Common Factor of Numerators i.e. GCF of 311,920,514 is 1 .

LCM of Denominators means LCM of 672,609,716 as per the given fractions.

LCM of 672,609,716 is 3488352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 311,920,514

GCF of Fractions 311/672,920/609,514/716 is 1/3488352

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

Greatest Common Factor of 311,920,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,920,514 By Matching Biggest Common Factor Method

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 311,920,514 . The biggest common factor number is the GCF number.
So the greatest common factor 311,920,514 is 1.

Lets's calculate LCM of 672,609,716

2 672, 609, 716
2 336, 609, 358
3 168, 609, 179
7 56, 203, 179
8, 29, 179

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 29 x 179 = 3488352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3488352

Therefore, the GCF of Fractions 311/672,920/609,514/716 is 1/3488352

Least Common Multiple of 672,609,716 with GCF Formula

Least Common Multiple of 672,609,716 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 672,609,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,609,716) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(672,609,716) x common factors =1 x 84 = 84

LCM(672,609,716) = ( 672 × 609 × 716 ) / 84

LCM(672,609,716) = 293021568 / 84

LCM(672,609,716) = 3488352


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 311/672, 920/609, 514/716

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 311/672, 920/609, 514/716?

Answer: GCF of Numerators as per given numbers 311/672, 920/609, 514/716 is

GCF of Numerators i.e. for 311,920,514 is 1

LCM of denominators i.e. for 672,609,716 is 3488352.

Thus, GCF of Fractions is 1/3488352.Finally, GCF of Fractions for 311/672, 920/609, 514/716 is 1/3488352.