Greatest Common Factor of 2640/172, 4602/6810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2640/172, 4602/6810

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 2640/172,4602/6810

Given fractions are 2640/172,4602/6810

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 2640,4602

Greatest Common Factor of Numerators i.e. GCF of 2640,4602 is 6 .

LCM of Denominators means LCM of 172,6810 as per the given fractions.

LCM of 172,6810 is 585660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2640,4602

GCF of Fractions 2640/172,4602/6810 is 6/585660

2 2640, 4602
3 1320, 2301
440, 767

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

Greatest Common Factor of 2640,4602 By Matching Biggest Common Factor Method

Greatest Common Factor of 2640,4602 By Matching Biggest Common Factor Method

Factors of 2640

List of positive integer factors of 2640 that divides 2640 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640

Factors of 4602

List of positive integer factors of 4602 that divides 4602 without a remainder.

1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602

Greatest Common Factor

We found the factors 2640,4602 . The biggest common factor number is the GCF number.
So the greatest common factor 2640,4602 is 6.

Lets's calculate LCM of 172,6810

2 172, 6810
86, 3405

∴ So the LCM of the given numbers is 2 x 86 x 3405 = 585660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/585660

Therefore, the GCF of Fractions 2640/172,4602/6810 is 6/585660

Least Common Multiple of 172,6810 with GCF Formula

Least Common Multiple of 172,6810 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 172,6810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,6810) = 2

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

GCF(172,6810) x common factors =2 x 1 = 2

LCM(172,6810) = ( 172 × 6810 ) / 2

LCM(172,6810) = 1171320 / 2

LCM(172,6810) = 585660


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 2640/172, 4602/6810

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 2640/172, 4602/6810?

Answer: GCF of Numerators as per given numbers 2640/172, 4602/6810 is

GCF of Numerators i.e. for 2640,4602 is 6

LCM of denominators i.e. for 172,6810 is 585660.

Thus, GCF of Fractions is 6/585660.Finally, GCF of Fractions for 2640/172, 4602/6810 is 6/585660.