Greatest Common Factor of 5196/33, 7632/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5196/33, 7632/934

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 5196/33,7632/934

Given fractions are 5196/33,7632/934

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 5196,7632

Greatest Common Factor of Numerators i.e. GCF of 5196,7632 is 12 .

LCM of Denominators means LCM of 33,934 as per the given fractions.

LCM of 33,934 is 30822 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5196,7632

GCF of Fractions 5196/33,7632/934 is 12/30822

2 5196, 7632
2 2598, 3816
3 1299, 1908
433, 636

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

Greatest Common Factor of 5196,7632 By Matching Biggest Common Factor Method

Greatest Common Factor of 5196,7632 By Matching Biggest Common Factor Method

Factors of 5196

List of positive integer factors of 5196 that divides 5196 without a remainder.

1,2,3,4,6,12,433,866,1299,1732,2598,5196

Factors of 7632

List of positive integer factors of 7632 that divides 7632 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,53,72,106,144,159,212,318,424,477,636,848,954,1272,1908,2544,3816,7632

Greatest Common Factor

We found the factors 5196,7632 . The biggest common factor number is the GCF number.
So the greatest common factor 5196,7632 is 12.

Lets's calculate LCM of 33,934

Given numbers has no common factors except 1. So, there LCM is their product i.e 30822

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/30822

Therefore, the GCF of Fractions 5196/33,7632/934 is 12/30822

Least Common Multiple of 33,934 with GCF Formula

Least Common Multiple of 33,934 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 33,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,934) = 1

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

GCF(33,934) x common factors =1 x 1 = 1

LCM(33,934) = ( 33 × 934 ) / 1

LCM(33,934) = 30822 / 1

LCM(33,934) = 30822


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 5196/33, 7632/934

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 5196/33, 7632/934?

Answer: GCF of Numerators as per given numbers 5196/33, 7632/934 is

GCF of Numerators i.e. for 5196,7632 is 12

LCM of denominators i.e. for 33,934 is 30822.

Thus, GCF of Fractions is 12/30822.Finally, GCF of Fractions for 5196/33, 7632/934 is 12/30822.