Greatest Common Factor of 6928/646, 6601/4780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6928/646, 6601/4780

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 6928/646,6601/4780

Given fractions are 6928/646,6601/4780

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 6928,6601

Greatest Common Factor of Numerators i.e. GCF of 6928,6601 is 1 .

LCM of Denominators means LCM of 646,4780 as per the given fractions.

LCM of 646,4780 is 1543940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6928,6601

GCF of Fractions 6928/646,6601/4780 is 1/1543940

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

Greatest Common Factor of 6928,6601 By Matching Biggest Common Factor Method

Greatest Common Factor of 6928,6601 By Matching Biggest Common Factor Method

Factors of 6928

List of positive integer factors of 6928 that divides 6928 without a remainder.

1,2,4,8,16,433,866,1732,3464,6928

Factors of 6601

List of positive integer factors of 6601 that divides 6601 without a remainder.

1,7,23,41,161,287,943,6601

Greatest Common Factor

We found the factors 6928,6601 . The biggest common factor number is the GCF number.
So the greatest common factor 6928,6601 is 1.

Lets's calculate LCM of 646,4780

2 646, 4780
323, 2390

∴ So the LCM of the given numbers is 2 x 323 x 2390 = 1543940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1543940

Therefore, the GCF of Fractions 6928/646,6601/4780 is 1/1543940

Least Common Multiple of 646,4780 with GCF Formula

Least Common Multiple of 646,4780 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 646,4780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,4780) = 2

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

GCF(646,4780) x common factors =2 x 1 = 2

LCM(646,4780) = ( 646 × 4780 ) / 2

LCM(646,4780) = 3087880 / 2

LCM(646,4780) = 1543940


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 6928/646, 6601/4780

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 6928/646, 6601/4780?

Answer: GCF of Numerators as per given numbers 6928/646, 6601/4780 is

GCF of Numerators i.e. for 6928,6601 is 1

LCM of denominators i.e. for 646,4780 is 1543940.

Thus, GCF of Fractions is 1/1543940.Finally, GCF of Fractions for 6928/646, 6601/4780 is 1/1543940.