Greatest Common Factor of 6066/76, 4356/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6066/76, 4356/761

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 6066/76,4356/761

Given fractions are 6066/76,4356/761

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 6066,4356

Greatest Common Factor of Numerators i.e. GCF of 6066,4356 is 18 .

LCM of Denominators means LCM of 76,761 as per the given fractions.

LCM of 76,761 is 57836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6066,4356

GCF of Fractions 6066/76,4356/761 is 18/57836

2 6066, 4356
3 3033, 2178
3 1011, 726
337, 242

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 6066,4356 By Matching Biggest Common Factor Method

Greatest Common Factor of 6066,4356 By Matching Biggest Common Factor Method

Factors of 6066

List of positive integer factors of 6066 that divides 6066 without a remainder.

1,2,3,6,9,18,337,674,1011,2022,3033,6066

Factors of 4356

List of positive integer factors of 4356 that divides 4356 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,121,132,198,242,363,396,484,726,1089,1452,2178,4356

Greatest Common Factor

We found the factors 6066,4356 . The biggest common factor number is the GCF number.
So the greatest common factor 6066,4356 is 18.

Lets's calculate LCM of 76,761

Given numbers has no common factors except 1. So, there LCM is their product i.e 57836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/57836

Therefore, the GCF of Fractions 6066/76,4356/761 is 18/57836

Least Common Multiple of 76,761 with GCF Formula

Least Common Multiple of 76,761 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 76,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,761) = 1

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

GCF(76,761) x common factors =1 x 1 = 1

LCM(76,761) = ( 76 × 761 ) / 1

LCM(76,761) = 57836 / 1

LCM(76,761) = 57836


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 6066/76, 4356/761

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 6066/76, 4356/761?

Answer: GCF of Numerators as per given numbers 6066/76, 4356/761 is

GCF of Numerators i.e. for 6066,4356 is 18

LCM of denominators i.e. for 76,761 is 57836.

Thus, GCF of Fractions is 18/57836.Finally, GCF of Fractions for 6066/76, 4356/761 is 18/57836.