Greatest Common Factor of 6780/508, 4577/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6780/508, 4577/438

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 6780/508,4577/438

Given fractions are 6780/508,4577/438

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 6780,4577

Greatest Common Factor of Numerators i.e. GCF of 6780,4577 is 1 .

LCM of Denominators means LCM of 508,438 as per the given fractions.

LCM of 508,438 is 111252 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6780,4577

GCF of Fractions 6780/508,4577/438 is 1/111252

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

Greatest Common Factor of 6780,4577 By Matching Biggest Common Factor Method

Greatest Common Factor of 6780,4577 By Matching Biggest Common Factor Method

Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780

Factors of 4577

List of positive integer factors of 4577 that divides 4577 without a remainder.

1,23,199,4577

Greatest Common Factor

We found the factors 6780,4577 . The biggest common factor number is the GCF number.
So the greatest common factor 6780,4577 is 1.

Lets's calculate LCM of 508,438

2 508, 438
254, 219

∴ So the LCM of the given numbers is 2 x 254 x 219 = 111252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111252

Therefore, the GCF of Fractions 6780/508,4577/438 is 1/111252

Least Common Multiple of 508,438 with GCF Formula

Least Common Multiple of 508,438 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 508,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,438) = 2

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

GCF(508,438) x common factors =2 x 1 = 2

LCM(508,438) = ( 508 × 438 ) / 2

LCM(508,438) = 222504 / 2

LCM(508,438) = 111252


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 6780/508, 4577/438

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 6780/508, 4577/438?

Answer: GCF of Numerators as per given numbers 6780/508, 4577/438 is

GCF of Numerators i.e. for 6780,4577 is 1

LCM of denominators i.e. for 508,438 is 111252.

Thus, GCF of Fractions is 1/111252.Finally, GCF of Fractions for 6780/508, 4577/438 is 1/111252.