Greatest Common Factor of 6685/994, 4461/5952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6685/994, 4461/5952

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 6685/994,4461/5952

Given fractions are 6685/994,4461/5952

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 6685,4461

Greatest Common Factor of Numerators i.e. GCF of 6685,4461 is 1 .

LCM of Denominators means LCM of 994,5952 as per the given fractions.

LCM of 994,5952 is 2958144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6685,4461

GCF of Fractions 6685/994,4461/5952 is 1/2958144

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

Greatest Common Factor of 6685,4461 By Matching Biggest Common Factor Method

Greatest Common Factor of 6685,4461 By Matching Biggest Common Factor Method

Factors of 6685

List of positive integer factors of 6685 that divides 6685 without a remainder.

1,5,7,35,191,955,1337,6685

Factors of 4461

List of positive integer factors of 4461 that divides 4461 without a remainder.

1,3,1487,4461

Greatest Common Factor

We found the factors 6685,4461 . The biggest common factor number is the GCF number.
So the greatest common factor 6685,4461 is 1.

Lets's calculate LCM of 994,5952

2 994, 5952
497, 2976

∴ So the LCM of the given numbers is 2 x 497 x 2976 = 2958144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2958144

Therefore, the GCF of Fractions 6685/994,4461/5952 is 1/2958144

Least Common Multiple of 994,5952 with GCF Formula

Least Common Multiple of 994,5952 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 994,5952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,5952) = 2

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

GCF(994,5952) x common factors =2 x 1 = 2

LCM(994,5952) = ( 994 × 5952 ) / 2

LCM(994,5952) = 5916288 / 2

LCM(994,5952) = 2958144


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 6685/994, 4461/5952

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 6685/994, 4461/5952?

Answer: GCF of Numerators as per given numbers 6685/994, 4461/5952 is

GCF of Numerators i.e. for 6685,4461 is 1

LCM of denominators i.e. for 994,5952 is 2958144.

Thus, GCF of Fractions is 1/2958144.Finally, GCF of Fractions for 6685/994, 4461/5952 is 1/2958144.