Greatest Common Factor of 3312/76, 5432/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3312/76, 5432/216

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 3312/76,5432/216

Given fractions are 3312/76,5432/216

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 3312,5432

Greatest Common Factor of Numerators i.e. GCF of 3312,5432 is 8 .

LCM of Denominators means LCM of 76,216 as per the given fractions.

LCM of 76,216 is 4104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3312,5432

GCF of Fractions 3312/76,5432/216 is 8/4104

2 3312, 5432
2 1656, 2716
2 828, 1358
414, 679

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3312,5432 By Matching Biggest Common Factor Method

Greatest Common Factor of 3312,5432 By Matching Biggest Common Factor Method

Factors of 3312

List of positive integer factors of 3312 that divides 3312 without a remainder.

1,2,3,4,6,8,9,12,16,18,23,24,36,46,48,69,72,92,138,144,184,207,276,368,414,552,828,1104,1656,3312

Factors of 5432

List of positive integer factors of 5432 that divides 5432 without a remainder.

1,2,4,7,8,14,28,56,97,194,388,679,776,1358,2716,5432

Greatest Common Factor

We found the factors 3312,5432 . The biggest common factor number is the GCF number.
So the greatest common factor 3312,5432 is 8.

Lets's calculate LCM of 76,216

2 76, 216
2 38, 108
19, 54

∴ So the LCM of the given numbers is 2 x 2 x 19 x 54 = 4104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4104

Therefore, the GCF of Fractions 3312/76,5432/216 is 8/4104

Least Common Multiple of 76,216 with GCF Formula

Least Common Multiple of 76,216 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 76,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,216) = 4

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

GCF(76,216) x common factors =4 x 1 = 4

LCM(76,216) = ( 76 × 216 ) / 4

LCM(76,216) = 16416 / 4

LCM(76,216) = 4104


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 3312/76, 5432/216

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 3312/76, 5432/216?

Answer: GCF of Numerators as per given numbers 3312/76, 5432/216 is

GCF of Numerators i.e. for 3312,5432 is 8

LCM of denominators i.e. for 76,216 is 4104.

Thus, GCF of Fractions is 8/4104.Finally, GCF of Fractions for 3312/76, 5432/216 is 8/4104.