Greatest Common Factor of 7958/23, 5910/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7958/23, 5910/469

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 7958/23,5910/469

Given fractions are 7958/23,5910/469

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 7958,5910

Greatest Common Factor of Numerators i.e. GCF of 7958,5910 is 2 .

LCM of Denominators means LCM of 23,469 as per the given fractions.

LCM of 23,469 is 10787 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7958,5910

GCF of Fractions 7958/23,5910/469 is 2/10787

2 7958, 5910
3979, 2955

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7958,5910 By Matching Biggest Common Factor Method

Greatest Common Factor of 7958,5910 By Matching Biggest Common Factor Method

Factors of 7958

List of positive integer factors of 7958 that divides 7958 without a remainder.

1,2,23,46,173,346,3979,7958

Factors of 5910

List of positive integer factors of 5910 that divides 5910 without a remainder.

1,2,3,5,6,10,15,30,197,394,591,985,1182,1970,2955,5910

Greatest Common Factor

We found the factors 7958,5910 . The biggest common factor number is the GCF number.
So the greatest common factor 7958,5910 is 2.

Lets's calculate LCM of 23,469

Given numbers has no common factors except 1. So, there LCM is their product i.e 10787

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10787

Therefore, the GCF of Fractions 7958/23,5910/469 is 2/10787

Least Common Multiple of 23,469 with GCF Formula

Least Common Multiple of 23,469 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 23,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,469) = 1

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

GCF(23,469) x common factors =1 x 1 = 1

LCM(23,469) = ( 23 × 469 ) / 1

LCM(23,469) = 10787 / 1

LCM(23,469) = 10787


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 7958/23, 5910/469

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 7958/23, 5910/469?

Answer: GCF of Numerators as per given numbers 7958/23, 5910/469 is

GCF of Numerators i.e. for 7958,5910 is 2

LCM of denominators i.e. for 23,469 is 10787.

Thus, GCF of Fractions is 2/10787.Finally, GCF of Fractions for 7958/23, 5910/469 is 2/10787.