Greatest Common Factor of 5014/967, 9775/1391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5014/967, 9775/1391

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 5014/967,9775/1391

Given fractions are 5014/967,9775/1391

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 5014,9775

Greatest Common Factor of Numerators i.e. GCF of 5014,9775 is 23 .

LCM of Denominators means LCM of 967,1391 as per the given fractions.

LCM of 967,1391 is 1345097 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5014,9775

GCF of Fractions 5014/967,9775/1391 is 23/1345097

23 5014, 9775
218, 425

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 5014,9775 By Matching Biggest Common Factor Method

Greatest Common Factor of 5014,9775 By Matching Biggest Common Factor Method

Factors of 5014

List of positive integer factors of 5014 that divides 5014 without a remainder.

1,2,23,46,109,218,2507,5014

Factors of 9775

List of positive integer factors of 9775 that divides 9775 without a remainder.

1,5,17,23,25,85,115,391,425,575,1955,9775

Greatest Common Factor

We found the factors 5014,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 5014,9775 is 23.

Lets's calculate LCM of 967,1391

Given numbers has no common factors except 1. So, there LCM is their product i.e 1345097

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/1345097

Therefore, the GCF of Fractions 5014/967,9775/1391 is 23/1345097

Least Common Multiple of 967,1391 with GCF Formula

Least Common Multiple of 967,1391 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 967,1391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,1391) = 1

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

GCF(967,1391) x common factors =1 x 1 = 1

LCM(967,1391) = ( 967 × 1391 ) / 1

LCM(967,1391) = 1345097 / 1

LCM(967,1391) = 1345097


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 5014/967, 9775/1391

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 5014/967, 9775/1391?

Answer: GCF of Numerators as per given numbers 5014/967, 9775/1391 is

GCF of Numerators i.e. for 5014,9775 is 23

LCM of denominators i.e. for 967,1391 is 1345097.

Thus, GCF of Fractions is 23/1345097.Finally, GCF of Fractions for 5014/967, 9775/1391 is 23/1345097.