Greatest Common Factor of 7254/942, 6468/2646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7254/942, 6468/2646

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 7254/942,6468/2646

Given fractions are 7254/942,6468/2646

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 7254,6468

Greatest Common Factor of Numerators i.e. GCF of 7254,6468 is 6 .

LCM of Denominators means LCM of 942,2646 as per the given fractions.

LCM of 942,2646 is 415422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7254,6468

GCF of Fractions 7254/942,6468/2646 is 6/415422

2 7254, 6468
3 3627, 3234
1209, 1078

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7254,6468 By Matching Biggest Common Factor Method

Greatest Common Factor of 7254,6468 By Matching Biggest Common Factor Method

Factors of 7254

List of positive integer factors of 7254 that divides 7254 without a remainder.

1,2,3,6,9,13,18,26,31,39,62,78,93,117,186,234,279,403,558,806,1209,2418,3627,7254

Factors of 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Greatest Common Factor

We found the factors 7254,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 7254,6468 is 6.

Lets's calculate LCM of 942,2646

2 942, 2646
3 471, 1323
157, 441

∴ So the LCM of the given numbers is 2 x 3 x 157 x 441 = 415422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/415422

Therefore, the GCF of Fractions 7254/942,6468/2646 is 6/415422

Least Common Multiple of 942,2646 with GCF Formula

Least Common Multiple of 942,2646 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 942,2646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,2646) = 6

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

GCF(942,2646) x common factors =6 x 1 = 6

LCM(942,2646) = ( 942 × 2646 ) / 6

LCM(942,2646) = 2492532 / 6

LCM(942,2646) = 415422


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 7254/942, 6468/2646

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 7254/942, 6468/2646?

Answer: GCF of Numerators as per given numbers 7254/942, 6468/2646 is

GCF of Numerators i.e. for 7254,6468 is 6

LCM of denominators i.e. for 942,2646 is 415422.

Thus, GCF of Fractions is 6/415422.Finally, GCF of Fractions for 7254/942, 6468/2646 is 6/415422.