Greatest Common Factor of 3627/971, 4906/5978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3627/971, 4906/5978

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 3627/971,4906/5978

Given fractions are 3627/971,4906/5978

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 3627,4906

Greatest Common Factor of Numerators i.e. GCF of 3627,4906 is 1 .

LCM of Denominators means LCM of 971,5978 as per the given fractions.

LCM of 971,5978 is 5804638 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3627,4906

GCF of Fractions 3627/971,4906/5978 is 1/5804638

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

Greatest Common Factor of 3627,4906 By Matching Biggest Common Factor Method

Greatest Common Factor of 3627,4906 By Matching Biggest Common Factor Method

Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1,3,9,13,31,39,93,117,279,403,1209,3627

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 3627,4906 . The biggest common factor number is the GCF number.
So the greatest common factor 3627,4906 is 1.

Lets's calculate LCM of 971,5978

Given numbers has no common factors except 1. So, there LCM is their product i.e 5804638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5804638

Therefore, the GCF of Fractions 3627/971,4906/5978 is 1/5804638

Least Common Multiple of 971,5978 with GCF Formula

Least Common Multiple of 971,5978 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 971,5978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,5978) = 1

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

GCF(971,5978) x common factors =1 x 1 = 1

LCM(971,5978) = ( 971 × 5978 ) / 1

LCM(971,5978) = 5804638 / 1

LCM(971,5978) = 5804638


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 3627/971, 4906/5978

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 3627/971, 4906/5978?

Answer: GCF of Numerators as per given numbers 3627/971, 4906/5978 is

GCF of Numerators i.e. for 3627,4906 is 1

LCM of denominators i.e. for 971,5978 is 5804638.

Thus, GCF of Fractions is 1/5804638.Finally, GCF of Fractions for 3627/971, 4906/5978 is 1/5804638.