Greatest Common Factor of 7296/39, 3420/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7296/39, 3420/116

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 7296/39,3420/116

Given fractions are 7296/39,3420/116

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 7296,3420

Greatest Common Factor of Numerators i.e. GCF of 7296,3420 is 228 .

LCM of Denominators means LCM of 39,116 as per the given fractions.

LCM of 39,116 is 4524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7296,3420

GCF of Fractions 7296/39,3420/116 is 228/4524

2 7296, 3420
2 3648, 1710
3 1824, 855
19 608, 285
32, 15

∴ So the GCF of the given numbers is 2 x 2 x 3 x 19 = 228

Greatest Common Factor of 7296,3420 By Matching Biggest Common Factor Method

Greatest Common Factor of 7296,3420 By Matching Biggest Common Factor Method

Factors of 7296

List of positive integer factors of 7296 that divides 7296 without a remainder.

1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296

Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420

Greatest Common Factor

We found the factors 7296,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 7296,3420 is 228.

Lets's calculate LCM of 39,116

Given numbers has no common factors except 1. So, there LCM is their product i.e 4524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 228/4524

Therefore, the GCF of Fractions 7296/39,3420/116 is 228/4524

Least Common Multiple of 39,116 with GCF Formula

Least Common Multiple of 39,116 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 39,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,116) = 1

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

GCF(39,116) x common factors =1 x 1 = 1

LCM(39,116) = ( 39 × 116 ) / 1

LCM(39,116) = 4524 / 1

LCM(39,116) = 4524


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 7296/39, 3420/116

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 7296/39, 3420/116?

Answer: GCF of Numerators as per given numbers 7296/39, 3420/116 is

GCF of Numerators i.e. for 7296,3420 is 228

LCM of denominators i.e. for 39,116 is 4524.

Thus, GCF of Fractions is 228/4524.Finally, GCF of Fractions for 7296/39, 3420/116 is 228/4524.