Greatest Common Factor of 44/87, 528/19, 264/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/87, 528/19, 264/732

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 44/87,528/19,264/732

Given fractions are 44/87,528/19,264/732

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 44,528,264

Greatest Common Factor of Numerators i.e. GCF of 44,528,264 is 44 .

LCM of Denominators means LCM of 87,19,732 as per the given fractions.

LCM of 87,19,732 is 403332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,528,264

GCF of Fractions 44/87,528/19,264/732 is 44/403332

2 44, 528, 264
2 22, 264, 132
11 11, 66, 132
1, 6, 12

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Greatest Common Factor of 44,528,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,528,264 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 44,528,264 . The biggest common factor number is the GCF number.
So the greatest common factor 44,528,264 is 44.

Lets's calculate LCM of 87,19,732

3 87, 19, 732
29, 19, 244

∴ So the LCM of the given numbers is 3 x 29 x 19 x 244 = 403332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/403332

Therefore, the GCF of Fractions 44/87,528/19,264/732 is 44/403332

Least Common Multiple of 87,19,732 with GCF Formula

Least Common Multiple of 87,19,732 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 87,19,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,19,732) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(87,19,732) x common factors =1 x 3 = 3

LCM(87,19,732) = ( 87 × 19 × 732 ) / 3

LCM(87,19,732) = 1209996 / 3

LCM(87,19,732) = 403332


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 44/87, 528/19, 264/732

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 44/87, 528/19, 264/732?

Answer: GCF of Numerators as per given numbers 44/87, 528/19, 264/732 is

GCF of Numerators i.e. for 44,528,264 is 44

LCM of denominators i.e. for 87,19,732 is 403332.

Thus, GCF of Fractions is 44/403332.Finally, GCF of Fractions for 44/87, 528/19, 264/732 is 44/403332.