Greatest Common Factor of 6642/930, 7436/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6642/930, 7436/829

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 6642/930,7436/829

Given fractions are 6642/930,7436/829

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 6642,7436

Greatest Common Factor of Numerators i.e. GCF of 6642,7436 is 2 .

LCM of Denominators means LCM of 930,829 as per the given fractions.

LCM of 930,829 is 770970 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6642,7436

GCF of Fractions 6642/930,7436/829 is 2/770970

2 6642, 7436
3321, 3718

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

Greatest Common Factor of 6642,7436 By Matching Biggest Common Factor Method

Greatest Common Factor of 6642,7436 By Matching Biggest Common Factor Method

Factors of 6642

List of positive integer factors of 6642 that divides 6642 without a remainder.

1,2,3,6,9,18,27,41,54,81,82,123,162,246,369,738,1107,2214,3321,6642

Factors of 7436

List of positive integer factors of 7436 that divides 7436 without a remainder.

1,2,4,11,13,22,26,44,52,143,169,286,338,572,676,1859,3718,7436

Greatest Common Factor

We found the factors 6642,7436 . The biggest common factor number is the GCF number.
So the greatest common factor 6642,7436 is 2.

Lets's calculate LCM of 930,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 770970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/770970

Therefore, the GCF of Fractions 6642/930,7436/829 is 2/770970

Least Common Multiple of 930,829 with GCF Formula

Least Common Multiple of 930,829 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 930,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,829) = 1

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

GCF(930,829) x common factors =1 x 1 = 1

LCM(930,829) = ( 930 × 829 ) / 1

LCM(930,829) = 770970 / 1

LCM(930,829) = 770970


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 6642/930, 7436/829

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 6642/930, 7436/829?

Answer: GCF of Numerators as per given numbers 6642/930, 7436/829 is

GCF of Numerators i.e. for 6642,7436 is 2

LCM of denominators i.e. for 930,829 is 770970.

Thus, GCF of Fractions is 2/770970.Finally, GCF of Fractions for 6642/930, 7436/829 is 2/770970.