Greatest Common Factor of 4077/709, 8166/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4077/709, 8166/627

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 4077/709,8166/627

Given fractions are 4077/709,8166/627

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 4077,8166

Greatest Common Factor of Numerators i.e. GCF of 4077,8166 is 3 .

LCM of Denominators means LCM of 709,627 as per the given fractions.

LCM of 709,627 is 444543 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4077,8166

GCF of Fractions 4077/709,8166/627 is 3/444543

3 4077, 8166
1359, 2722

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4077,8166 By Matching Biggest Common Factor Method

Greatest Common Factor of 4077,8166 By Matching Biggest Common Factor Method

Factors of 4077

List of positive integer factors of 4077 that divides 4077 without a remainder.

1,3,9,27,151,453,1359,4077

Factors of 8166

List of positive integer factors of 8166 that divides 8166 without a remainder.

1,2,3,6,1361,2722,4083,8166

Greatest Common Factor

We found the factors 4077,8166 . The biggest common factor number is the GCF number.
So the greatest common factor 4077,8166 is 3.

Lets's calculate LCM of 709,627

Given numbers has no common factors except 1. So, there LCM is their product i.e 444543

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/444543

Therefore, the GCF of Fractions 4077/709,8166/627 is 3/444543

Least Common Multiple of 709,627 with GCF Formula

Least Common Multiple of 709,627 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 709,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,627) = 1

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

GCF(709,627) x common factors =1 x 1 = 1

LCM(709,627) = ( 709 × 627 ) / 1

LCM(709,627) = 444543 / 1

LCM(709,627) = 444543


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 4077/709, 8166/627

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 4077/709, 8166/627?

Answer: GCF of Numerators as per given numbers 4077/709, 8166/627 is

GCF of Numerators i.e. for 4077,8166 is 3

LCM of denominators i.e. for 709,627 is 444543.

Thus, GCF of Fractions is 3/444543.Finally, GCF of Fractions for 4077/709, 8166/627 is 3/444543.