Greatest Common Factor of 2520/323, 6216/8129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2520/323, 6216/8129

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 2520/323,6216/8129

Given fractions are 2520/323,6216/8129

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 2520,6216

Greatest Common Factor of Numerators i.e. GCF of 2520,6216 is 168 .

LCM of Denominators means LCM of 323,8129 as per the given fractions.

LCM of 323,8129 is 2625667 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2520,6216

GCF of Fractions 2520/323,6216/8129 is 168/2625667

2 2520, 6216
2 1260, 3108
2 630, 1554
3 315, 777
7 105, 259
15, 37

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 7 = 168

Greatest Common Factor of 2520,6216 By Matching Biggest Common Factor Method

Greatest Common Factor of 2520,6216 By Matching Biggest Common Factor Method

Factors of 2520

List of positive integer factors of 2520 that divides 2520 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520

Factors of 6216

List of positive integer factors of 6216 that divides 6216 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216

Greatest Common Factor

We found the factors 2520,6216 . The biggest common factor number is the GCF number.
So the greatest common factor 2520,6216 is 168.

Lets's calculate LCM of 323,8129

Given numbers has no common factors except 1. So, there LCM is their product i.e 2625667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 168/2625667

Therefore, the GCF of Fractions 2520/323,6216/8129 is 168/2625667

Least Common Multiple of 323,8129 with GCF Formula

Least Common Multiple of 323,8129 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 323,8129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,8129) = 1

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

GCF(323,8129) x common factors =1 x 1 = 1

LCM(323,8129) = ( 323 × 8129 ) / 1

LCM(323,8129) = 2625667 / 1

LCM(323,8129) = 2625667


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 2520/323, 6216/8129

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 2520/323, 6216/8129?

Answer: GCF of Numerators as per given numbers 2520/323, 6216/8129 is

GCF of Numerators i.e. for 2520,6216 is 168

LCM of denominators i.e. for 323,8129 is 2625667.

Thus, GCF of Fractions is 168/2625667.Finally, GCF of Fractions for 2520/323, 6216/8129 is 168/2625667.