Greatest Common Factor of 6788/59, 3264/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6788/59, 3264/177

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 6788/59,3264/177

Given fractions are 6788/59,3264/177

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 6788,3264

Greatest Common Factor of Numerators i.e. GCF of 6788,3264 is 4 .

LCM of Denominators means LCM of 59,177 as per the given fractions.

LCM of 59,177 is 177 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6788,3264

GCF of Fractions 6788/59,3264/177 is 4/177

2 6788, 3264
2 3394, 1632
1697, 816

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6788,3264 By Matching Biggest Common Factor Method

Greatest Common Factor of 6788,3264 By Matching Biggest Common Factor Method

Factors of 6788

List of positive integer factors of 6788 that divides 6788 without a remainder.

1,2,4,1697,3394,6788

Factors of 3264

List of positive integer factors of 3264 that divides 3264 without a remainder.

1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,136,192,204,272,408,544,816,1088,1632,3264

Greatest Common Factor

We found the factors 6788,3264 . The biggest common factor number is the GCF number.
So the greatest common factor 6788,3264 is 4.

Lets's calculate LCM of 59,177

59 59, 177
1, 3

∴ So the LCM of the given numbers is 59 x 1 x 3 = 177

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/177

Therefore, the GCF of Fractions 6788/59,3264/177 is 4/177

Least Common Multiple of 59,177 with GCF Formula

Least Common Multiple of 59,177 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 59,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,177) = 59

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

GCF(59,177) x common factors =59 x 1 = 59

LCM(59,177) = ( 59 × 177 ) / 59

LCM(59,177) = 10443 / 59

LCM(59,177) = 177


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 6788/59, 3264/177

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 6788/59, 3264/177?

Answer: GCF of Numerators as per given numbers 6788/59, 3264/177 is

GCF of Numerators i.e. for 6788,3264 is 4

LCM of denominators i.e. for 59,177 is 177.

Thus, GCF of Fractions is 4/177.Finally, GCF of Fractions for 6788/59, 3264/177 is 4/177.