Greatest Common Factor of 7/34, 23/498, 39/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/34, 23/498, 39/940

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 7/34,23/498,39/940

Given fractions are 7/34,23/498,39/940

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 7,23,39

Greatest Common Factor of Numerators i.e. GCF of 7,23,39 is 1 .

LCM of Denominators means LCM of 34,498,940 as per the given fractions.

LCM of 34,498,940 is 3979020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,23,39

GCF of Fractions 7/34,23/498,39/940 is 1/3979020

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

Greatest Common Factor of 7,23,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,23,39 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 7,23,39 . The biggest common factor number is the GCF number.
So the greatest common factor 7,23,39 is 1.

Lets's calculate LCM of 34,498,940

2 34, 498, 940
17, 249, 470

∴ So the LCM of the given numbers is 2 x 17 x 249 x 470 = 3979020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3979020

Therefore, the GCF of Fractions 7/34,23/498,39/940 is 1/3979020

Least Common Multiple of 34,498,940 with GCF Formula

Least Common Multiple of 34,498,940 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 34,498,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,498,940) = 2

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

GCF(34,498,940) x common factors =2 x 2 = 4

LCM(34,498,940) = ( 34 × 498 × 940 ) / 4

LCM(34,498,940) = 15916080 / 4

LCM(34,498,940) = 3979020


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 7/34, 23/498, 39/940

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 7/34, 23/498, 39/940?

Answer: GCF of Numerators as per given numbers 7/34, 23/498, 39/940 is

GCF of Numerators i.e. for 7,23,39 is 1

LCM of denominators i.e. for 34,498,940 is 3979020.

Thus, GCF of Fractions is 1/3979020.Finally, GCF of Fractions for 7/34, 23/498, 39/940 is 1/3979020.