Greatest Common Factor of 4945/476, 4991/7289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4945/476, 4991/7289

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 4945/476,4991/7289

Given fractions are 4945/476,4991/7289

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 4945,4991

Greatest Common Factor of Numerators i.e. GCF of 4945,4991 is 23 .

LCM of Denominators means LCM of 476,7289 as per the given fractions.

LCM of 476,7289 is 3469564 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4945,4991

GCF of Fractions 4945/476,4991/7289 is 23/3469564

23 4945, 4991
215, 217

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

Greatest Common Factor of 4945,4991 By Matching Biggest Common Factor Method

Greatest Common Factor of 4945,4991 By Matching Biggest Common Factor Method

Factors of 4945

List of positive integer factors of 4945 that divides 4945 without a remainder.

1,5,23,43,115,215,989,4945

Factors of 4991

List of positive integer factors of 4991 that divides 4991 without a remainder.

1,7,23,31,161,217,713,4991

Greatest Common Factor

We found the factors 4945,4991 . The biggest common factor number is the GCF number.
So the greatest common factor 4945,4991 is 23.

Lets's calculate LCM of 476,7289

Given numbers has no common factors except 1. So, there LCM is their product i.e 3469564

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/3469564

Therefore, the GCF of Fractions 4945/476,4991/7289 is 23/3469564

Least Common Multiple of 476,7289 with GCF Formula

Least Common Multiple of 476,7289 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 476,7289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,7289) = 1

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

GCF(476,7289) x common factors =1 x 1 = 1

LCM(476,7289) = ( 476 × 7289 ) / 1

LCM(476,7289) = 3469564 / 1

LCM(476,7289) = 3469564


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 4945/476, 4991/7289

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 4945/476, 4991/7289?

Answer: GCF of Numerators as per given numbers 4945/476, 4991/7289 is

GCF of Numerators i.e. for 4945,4991 is 23

LCM of denominators i.e. for 476,7289 is 3469564.

Thus, GCF of Fractions is 23/3469564.Finally, GCF of Fractions for 4945/476, 4991/7289 is 23/3469564.