Greatest Common Factor of 3288/932, 5472/3524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3288/932, 5472/3524

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 3288/932,5472/3524

Given fractions are 3288/932,5472/3524

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 3288,5472

Greatest Common Factor of Numerators i.e. GCF of 3288,5472 is 24 .

LCM of Denominators means LCM of 932,3524 as per the given fractions.

LCM of 932,3524 is 821092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3288,5472

GCF of Fractions 3288/932,5472/3524 is 24/821092

2 3288, 5472
2 1644, 2736
2 822, 1368
3 411, 684
137, 228

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 3288,5472 By Matching Biggest Common Factor Method

Greatest Common Factor of 3288,5472 By Matching Biggest Common Factor Method

Factors of 3288

List of positive integer factors of 3288 that divides 3288 without a remainder.

1,2,3,4,6,8,12,24,137,274,411,548,822,1096,1644,3288

Factors of 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472

Greatest Common Factor

We found the factors 3288,5472 . The biggest common factor number is the GCF number.
So the greatest common factor 3288,5472 is 24.

Lets's calculate LCM of 932,3524

2 932, 3524
2 466, 1762
233, 881

∴ So the LCM of the given numbers is 2 x 2 x 233 x 881 = 821092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/821092

Therefore, the GCF of Fractions 3288/932,5472/3524 is 24/821092

Least Common Multiple of 932,3524 with GCF Formula

Least Common Multiple of 932,3524 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 932,3524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,3524) = 4

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

GCF(932,3524) x common factors =4 x 1 = 4

LCM(932,3524) = ( 932 × 3524 ) / 4

LCM(932,3524) = 3284368 / 4

LCM(932,3524) = 821092


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 3288/932, 5472/3524

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 3288/932, 5472/3524?

Answer: GCF of Numerators as per given numbers 3288/932, 5472/3524 is

GCF of Numerators i.e. for 3288,5472 is 24

LCM of denominators i.e. for 932,3524 is 821092.

Thus, GCF of Fractions is 24/821092.Finally, GCF of Fractions for 3288/932, 5472/3524 is 24/821092.