Greatest Common Factor of 4813/67, 4906/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4813/67, 4906/971

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 4813/67,4906/971

Given fractions are 4813/67,4906/971

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 4813,4906

Greatest Common Factor of Numerators i.e. GCF of 4813,4906 is 1 .

LCM of Denominators means LCM of 67,971 as per the given fractions.

LCM of 67,971 is 65057 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4813,4906

GCF of Fractions 4813/67,4906/971 is 1/65057

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

Greatest Common Factor of 4813,4906 By Matching Biggest Common Factor Method

Greatest Common Factor of 4813,4906 By Matching Biggest Common Factor Method

Factors of 4813

List of positive integer factors of 4813 that divides 4813 without a remainder.

1,4813

Factors of 4906

List of positive integer factors of 4906 that divides 4906 without a remainder.

1,2,11,22,223,446,2453,4906

Greatest Common Factor

We found the factors 4813,4906 . The biggest common factor number is the GCF number.
So the greatest common factor 4813,4906 is 1.

Lets's calculate LCM of 67,971

Given numbers has no common factors except 1. So, there LCM is their product i.e 65057

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65057

Therefore, the GCF of Fractions 4813/67,4906/971 is 1/65057

Least Common Multiple of 67,971 with GCF Formula

Least Common Multiple of 67,971 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 67,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,971) = 1

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

GCF(67,971) x common factors =1 x 1 = 1

LCM(67,971) = ( 67 × 971 ) / 1

LCM(67,971) = 65057 / 1

LCM(67,971) = 65057


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 4813/67, 4906/971

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 4813/67, 4906/971?

Answer: GCF of Numerators as per given numbers 4813/67, 4906/971 is

GCF of Numerators i.e. for 4813,4906 is 1

LCM of denominators i.e. for 67,971 is 65057.

Thus, GCF of Fractions is 1/65057.Finally, GCF of Fractions for 4813/67, 4906/971 is 1/65057.