Greatest Common Factor of 528/745, 276/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 528/745, 276/992

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 528/745,276/992

Given fractions are 528/745,276/992

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 528,276

Greatest Common Factor of Numerators i.e. GCF of 528,276 is 12 .

LCM of Denominators means LCM of 745,992 as per the given fractions.

LCM of 745,992 is 739040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 528,276

GCF of Fractions 528/745,276/992 is 12/739040

2 528, 276
2 264, 138
3 132, 69
44, 23

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

Greatest Common Factor of 528,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,276 By Matching Biggest Common Factor Method

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 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 528,276 . The biggest common factor number is the GCF number.
So the greatest common factor 528,276 is 12.

Lets's calculate LCM of 745,992

Given numbers has no common factors except 1. So, there LCM is their product i.e 739040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/739040

Therefore, the GCF of Fractions 528/745,276/992 is 12/739040

Least Common Multiple of 745,992 with GCF Formula

Least Common Multiple of 745,992 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 745,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,992) = 1

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

GCF(745,992) x common factors =1 x 1 = 1

LCM(745,992) = ( 745 × 992 ) / 1

LCM(745,992) = 739040 / 1

LCM(745,992) = 739040


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 528/745, 276/992

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 528/745, 276/992?

Answer: GCF of Numerators as per given numbers 528/745, 276/992 is

GCF of Numerators i.e. for 528,276 is 12

LCM of denominators i.e. for 745,992 is 739040.

Thus, GCF of Fractions is 12/739040.Finally, GCF of Fractions for 528/745, 276/992 is 12/739040.