Greatest Common Factor of 3483/516, 7104/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3483/516, 7104/348

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 3483/516,7104/348

Given fractions are 3483/516,7104/348

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 3483,7104

Greatest Common Factor of Numerators i.e. GCF of 3483,7104 is 3 .

LCM of Denominators means LCM of 516,348 as per the given fractions.

LCM of 516,348 is 14964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3483,7104

GCF of Fractions 3483/516,7104/348 is 3/14964

3 3483, 7104
1161, 2368

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3483,7104 By Matching Biggest Common Factor Method

Greatest Common Factor of 3483,7104 By Matching Biggest Common Factor Method

Factors of 3483

List of positive integer factors of 3483 that divides 3483 without a remainder.

1,3,9,27,43,81,129,387,1161,3483

Factors of 7104

List of positive integer factors of 7104 that divides 7104 without a remainder.

1,2,3,4,6,8,12,16,24,32,37,48,64,74,96,111,148,192,222,296,444,592,888,1184,1776,2368,3552,7104

Greatest Common Factor

We found the factors 3483,7104 . The biggest common factor number is the GCF number.
So the greatest common factor 3483,7104 is 3.

Lets's calculate LCM of 516,348

2 516, 348
2 258, 174
3 129, 87
43, 29

∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 29 = 14964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14964

Therefore, the GCF of Fractions 3483/516,7104/348 is 3/14964

Least Common Multiple of 516,348 with GCF Formula

Least Common Multiple of 516,348 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 516,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,348) = 12

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

GCF(516,348) x common factors =12 x 1 = 12

LCM(516,348) = ( 516 × 348 ) / 12

LCM(516,348) = 179568 / 12

LCM(516,348) = 14964


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 3483/516, 7104/348

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 3483/516, 7104/348?

Answer: GCF of Numerators as per given numbers 3483/516, 7104/348 is

GCF of Numerators i.e. for 3483,7104 is 3

LCM of denominators i.e. for 516,348 is 14964.

Thus, GCF of Fractions is 3/14964.Finally, GCF of Fractions for 3483/516, 7104/348 is 3/14964.