Greatest Common Factor of 6138/68, 9777/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6138/68, 9777/476

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 6138/68,9777/476

Given fractions are 6138/68,9777/476

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 6138,9777

Greatest Common Factor of Numerators i.e. GCF of 6138,9777 is 3 .

LCM of Denominators means LCM of 68,476 as per the given fractions.

LCM of 68,476 is 476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6138,9777

GCF of Fractions 6138/68,9777/476 is 3/476

3 6138, 9777
2046, 3259

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

Greatest Common Factor of 6138,9777 By Matching Biggest Common Factor Method

Greatest Common Factor of 6138,9777 By Matching Biggest Common Factor Method

Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138

Factors of 9777

List of positive integer factors of 9777 that divides 9777 without a remainder.

1,3,3259,9777

Greatest Common Factor

We found the factors 6138,9777 . The biggest common factor number is the GCF number.
So the greatest common factor 6138,9777 is 3.

Lets's calculate LCM of 68,476

2 68, 476
2 34, 238
17 17, 119
1, 7

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 7 = 476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/476

Therefore, the GCF of Fractions 6138/68,9777/476 is 3/476

Least Common Multiple of 68,476 with GCF Formula

Least Common Multiple of 68,476 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 68,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,476) = 68

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

GCF(68,476) x common factors =68 x 1 = 68

LCM(68,476) = ( 68 × 476 ) / 68

LCM(68,476) = 32368 / 68

LCM(68,476) = 476


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 6138/68, 9777/476

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 6138/68, 9777/476?

Answer: GCF of Numerators as per given numbers 6138/68, 9777/476 is

GCF of Numerators i.e. for 6138,9777 is 3

LCM of denominators i.e. for 68,476 is 476.

Thus, GCF of Fractions is 3/476.Finally, GCF of Fractions for 6138/68, 9777/476 is 3/476.