Greatest Common Factor of 6685/374, 7641/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6685/374, 7641/602

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 6685/374,7641/602

Given fractions are 6685/374,7641/602

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 6685,7641

Greatest Common Factor of Numerators i.e. GCF of 6685,7641 is 1 .

LCM of Denominators means LCM of 374,602 as per the given fractions.

LCM of 374,602 is 112574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6685,7641

GCF of Fractions 6685/374,7641/602 is 1/112574

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

Greatest Common Factor of 6685,7641 By Matching Biggest Common Factor Method

Greatest Common Factor of 6685,7641 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 7641

List of positive integer factors of 7641 that divides 7641 without a remainder.

1,3,9,27,283,849,2547,7641

Greatest Common Factor

We found the factors 6685,7641 . The biggest common factor number is the GCF number.
So the greatest common factor 6685,7641 is 1.

Lets's calculate LCM of 374,602

2 374, 602
187, 301

∴ So the LCM of the given numbers is 2 x 187 x 301 = 112574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112574

Therefore, the GCF of Fractions 6685/374,7641/602 is 1/112574

Least Common Multiple of 374,602 with GCF Formula

Least Common Multiple of 374,602 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 374,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,602) = 2

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

GCF(374,602) x common factors =2 x 1 = 2

LCM(374,602) = ( 374 × 602 ) / 2

LCM(374,602) = 225148 / 2

LCM(374,602) = 112574


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 6685/374, 7641/602

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 6685/374, 7641/602?

Answer: GCF of Numerators as per given numbers 6685/374, 7641/602 is

GCF of Numerators i.e. for 6685,7641 is 1

LCM of denominators i.e. for 374,602 is 112574.

Thus, GCF of Fractions is 1/112574.Finally, GCF of Fractions for 6685/374, 7641/602 is 1/112574.