Greatest Common Factor of 771/18, 773/31, 252/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 771/18, 773/31, 252/899

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 771/18,773/31,252/899

Given fractions are 771/18,773/31,252/899

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 771,773,252

Greatest Common Factor of Numerators i.e. GCF of 771,773,252 is 1 .

LCM of Denominators means LCM of 18,31,899 as per the given fractions.

LCM of 18,31,899 is 16182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 771,773,252

GCF of Fractions 771/18,773/31,252/899 is 1/16182

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 771,773,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,773,252 By Matching Biggest Common Factor Method

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 771,773,252 . The biggest common factor number is the GCF number.
So the greatest common factor 771,773,252 is 1.

Lets's calculate LCM of 18,31,899

31 18, 31, 899
18, 1, 29

∴ So the LCM of the given numbers is 31 x 18 x 1 x 29 = 16182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16182

Therefore, the GCF of Fractions 771/18,773/31,252/899 is 1/16182

Least Common Multiple of 18,31,899 with GCF Formula

Least Common Multiple of 18,31,899 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 18,31,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,31,899) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(18,31,899) x common factors =1 x 31 = 31

LCM(18,31,899) = ( 18 × 31 × 899 ) / 31

LCM(18,31,899) = 501642 / 31

LCM(18,31,899) = 16182


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 771/18, 773/31, 252/899

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 771/18, 773/31, 252/899?

Answer: GCF of Numerators as per given numbers 771/18, 773/31, 252/899 is

GCF of Numerators i.e. for 771,773,252 is 1

LCM of denominators i.e. for 18,31,899 is 16182.

Thus, GCF of Fractions is 1/16182.Finally, GCF of Fractions for 771/18, 773/31, 252/899 is 1/16182.