Greatest Common Factor of 351/62, 723/82, 980/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 351/62, 723/82, 980/165

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 351/62,723/82,980/165

Given fractions are 351/62,723/82,980/165

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 351,723,980

Greatest Common Factor of Numerators i.e. GCF of 351,723,980 is 1 .

LCM of Denominators means LCM of 62,82,165 as per the given fractions.

LCM of 62,82,165 is 419430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 351,723,980

GCF of Fractions 351/62,723/82,980/165 is 1/419430

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

Greatest Common Factor of 351,723,980 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,723,980 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 351,723,980 . The biggest common factor number is the GCF number.
So the greatest common factor 351,723,980 is 1.

Lets's calculate LCM of 62,82,165

2 62, 82, 165
31, 41, 165

∴ So the LCM of the given numbers is 2 x 31 x 41 x 165 = 419430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419430

Therefore, the GCF of Fractions 351/62,723/82,980/165 is 1/419430

Least Common Multiple of 62,82,165 with GCF Formula

Least Common Multiple of 62,82,165 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 62,82,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,82,165) = 1

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

GCF(62,82,165) x common factors =1 x 2 = 2

LCM(62,82,165) = ( 62 × 82 × 165 ) / 2

LCM(62,82,165) = 838860 / 2

LCM(62,82,165) = 419430


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 351/62, 723/82, 980/165

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 351/62, 723/82, 980/165?

Answer: GCF of Numerators as per given numbers 351/62, 723/82, 980/165 is

GCF of Numerators i.e. for 351,723,980 is 1

LCM of denominators i.e. for 62,82,165 is 419430.

Thus, GCF of Fractions is 1/419430.Finally, GCF of Fractions for 351/62, 723/82, 980/165 is 1/419430.