Greatest Common Factor of 3258/62, 7296/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3258/62, 7296/112

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 3258/62,7296/112

Given fractions are 3258/62,7296/112

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 3258,7296

Greatest Common Factor of Numerators i.e. GCF of 3258,7296 is 6 .

LCM of Denominators means LCM of 62,112 as per the given fractions.

LCM of 62,112 is 3472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3258,7296

GCF of Fractions 3258/62,7296/112 is 6/3472

2 3258, 7296
3 1629, 3648
543, 1216

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3258,7296 By Matching Biggest Common Factor Method

Greatest Common Factor of 3258,7296 By Matching Biggest Common Factor Method

Factors of 3258

List of positive integer factors of 3258 that divides 3258 without a remainder.

1,2,3,6,9,18,181,362,543,1086,1629,3258

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

Greatest Common Factor

We found the factors 3258,7296 . The biggest common factor number is the GCF number.
So the greatest common factor 3258,7296 is 6.

Lets's calculate LCM of 62,112

2 62, 112
31, 56

∴ So the LCM of the given numbers is 2 x 31 x 56 = 3472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3472

Therefore, the GCF of Fractions 3258/62,7296/112 is 6/3472

Least Common Multiple of 62,112 with GCF Formula

Least Common Multiple of 62,112 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 62,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,112) = 2

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

GCF(62,112) x common factors =2 x 1 = 2

LCM(62,112) = ( 62 × 112 ) / 2

LCM(62,112) = 6944 / 2

LCM(62,112) = 3472


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 3258/62, 7296/112

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 3258/62, 7296/112?

Answer: GCF of Numerators as per given numbers 3258/62, 7296/112 is

GCF of Numerators i.e. for 3258,7296 is 6

LCM of denominators i.e. for 62,112 is 3472.

Thus, GCF of Fractions is 6/3472.Finally, GCF of Fractions for 3258/62, 7296/112 is 6/3472.