Greatest Common Factor of 532/16, 2793/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/16, 2793/781

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 532/16,2793/781

Given fractions are 532/16,2793/781

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 532,2793

Greatest Common Factor of Numerators i.e. GCF of 532,2793 is 133 .

LCM of Denominators means LCM of 16,781 as per the given fractions.

LCM of 16,781 is 12496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,2793

GCF of Fractions 532/16,2793/781 is 133/12496

7 532, 2793
19 76, 399
4, 21

∴ So the GCF of the given numbers is 7 x 19 = 133

Greatest Common Factor of 532,2793 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,2793 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 2793

List of positive integer factors of 2793 that divides 2793 without a remainder.

1,3,7,19,21,49,57,133,147,399,931,2793

Greatest Common Factor

We found the factors 532,2793 . The biggest common factor number is the GCF number.
So the greatest common factor 532,2793 is 133.

Lets's calculate LCM of 16,781

Given numbers has no common factors except 1. So, there LCM is their product i.e 12496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 133/12496

Therefore, the GCF of Fractions 532/16,2793/781 is 133/12496

Least Common Multiple of 16,781 with GCF Formula

Least Common Multiple of 16,781 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 16,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,781) = 1

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

GCF(16,781) x common factors =1 x 1 = 1

LCM(16,781) = ( 16 × 781 ) / 1

LCM(16,781) = 12496 / 1

LCM(16,781) = 12496


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 532/16, 2793/781

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 532/16, 2793/781?

Answer: GCF of Numerators as per given numbers 532/16, 2793/781 is

GCF of Numerators i.e. for 532,2793 is 133

LCM of denominators i.e. for 16,781 is 12496.

Thus, GCF of Fractions is 133/12496.Finally, GCF of Fractions for 532/16, 2793/781 is 133/12496.