Greatest Common Factor of 8484/634, 3600/5380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8484/634, 3600/5380

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 8484/634,3600/5380

Given fractions are 8484/634,3600/5380

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 8484,3600

Greatest Common Factor of Numerators i.e. GCF of 8484,3600 is 12 .

LCM of Denominators means LCM of 634,5380 as per the given fractions.

LCM of 634,5380 is 1705460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8484,3600

GCF of Fractions 8484/634,3600/5380 is 12/1705460

2 8484, 3600
2 4242, 1800
3 2121, 900
707, 300

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

Greatest Common Factor of 8484,3600 By Matching Biggest Common Factor Method

Greatest Common Factor of 8484,3600 By Matching Biggest Common Factor Method

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

Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,36,40,45,48,50,60,72,75,80,90,100,120,144,150,180,200,225,240,300,360,400,450,600,720,900,1200,1800,3600

Greatest Common Factor

We found the factors 8484,3600 . The biggest common factor number is the GCF number.
So the greatest common factor 8484,3600 is 12.

Lets's calculate LCM of 634,5380

2 634, 5380
317, 2690

∴ So the LCM of the given numbers is 2 x 317 x 2690 = 1705460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1705460

Therefore, the GCF of Fractions 8484/634,3600/5380 is 12/1705460

Least Common Multiple of 634,5380 with GCF Formula

Least Common Multiple of 634,5380 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 634,5380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,5380) = 2

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

GCF(634,5380) x common factors =2 x 1 = 2

LCM(634,5380) = ( 634 × 5380 ) / 2

LCM(634,5380) = 3410920 / 2

LCM(634,5380) = 1705460


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 8484/634, 3600/5380

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 8484/634, 3600/5380?

Answer: GCF of Numerators as per given numbers 8484/634, 3600/5380 is

GCF of Numerators i.e. for 8484,3600 is 12

LCM of denominators i.e. for 634,5380 is 1705460.

Thus, GCF of Fractions is 12/1705460.Finally, GCF of Fractions for 8484/634, 3600/5380 is 12/1705460.