Greatest Common Factor of 6360/980, 8484/2904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6360/980, 8484/2904

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 6360/980,8484/2904

Given fractions are 6360/980,8484/2904

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 6360,8484

Greatest Common Factor of Numerators i.e. GCF of 6360,8484 is 12 .

LCM of Denominators means LCM of 980,2904 as per the given fractions.

LCM of 980,2904 is 711480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6360,8484

GCF of Fractions 6360/980,8484/2904 is 12/711480

2 6360, 8484
2 3180, 4242
3 1590, 2121
530, 707

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 6360,8484 By Matching Biggest Common Factor Method

Greatest Common Factor of 6360,8484 By Matching Biggest Common Factor Method

Factors of 6360

List of positive integer factors of 6360 that divides 6360 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,53,60,106,120,159,212,265,318,424,530,636,795,1060,1272,1590,2120,3180,6360

Factors of 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484

Greatest Common Factor

We found the factors 6360,8484 . The biggest common factor number is the GCF number.
So the greatest common factor 6360,8484 is 12.

Lets's calculate LCM of 980,2904

2 980, 2904
2 490, 1452
245, 726

∴ So the LCM of the given numbers is 2 x 2 x 245 x 726 = 711480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/711480

Therefore, the GCF of Fractions 6360/980,8484/2904 is 12/711480

Least Common Multiple of 980,2904 with GCF Formula

Least Common Multiple of 980,2904 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 980,2904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,2904) = 4

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

GCF(980,2904) x common factors =4 x 1 = 4

LCM(980,2904) = ( 980 × 2904 ) / 4

LCM(980,2904) = 2845920 / 4

LCM(980,2904) = 711480


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 6360/980, 8484/2904

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 6360/980, 8484/2904?

Answer: GCF of Numerators as per given numbers 6360/980, 8484/2904 is

GCF of Numerators i.e. for 6360,8484 is 12

LCM of denominators i.e. for 980,2904 is 711480.

Thus, GCF of Fractions is 12/711480.Finally, GCF of Fractions for 6360/980, 8484/2904 is 12/711480.