Greatest Common Factor of 3885/81, 2549/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3885/81, 2549/429

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 3885/81,2549/429

Given fractions are 3885/81,2549/429

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 3885,2549

Greatest Common Factor of Numerators i.e. GCF of 3885,2549 is 1 .

LCM of Denominators means LCM of 81,429 as per the given fractions.

LCM of 81,429 is 11583 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3885,2549

GCF of Fractions 3885/81,2549/429 is 1/11583

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

Greatest Common Factor of 3885,2549 By Matching Biggest Common Factor Method

Greatest Common Factor of 3885,2549 By Matching Biggest Common Factor Method

Factors of 3885

List of positive integer factors of 3885 that divides 3885 without a remainder.

1,3,5,7,15,21,35,37,105,111,185,259,555,777,1295,3885

Factors of 2549

List of positive integer factors of 2549 that divides 2549 without a remainder.

1,2549

Greatest Common Factor

We found the factors 3885,2549 . The biggest common factor number is the GCF number.
So the greatest common factor 3885,2549 is 1.

Lets's calculate LCM of 81,429

3 81, 429
27, 143

∴ So the LCM of the given numbers is 3 x 27 x 143 = 11583

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11583

Therefore, the GCF of Fractions 3885/81,2549/429 is 1/11583

Least Common Multiple of 81,429 with GCF Formula

Least Common Multiple of 81,429 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 81,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,429) = 3

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

GCF(81,429) x common factors =3 x 1 = 3

LCM(81,429) = ( 81 × 429 ) / 3

LCM(81,429) = 34749 / 3

LCM(81,429) = 11583


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 3885/81, 2549/429

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 3885/81, 2549/429?

Answer: GCF of Numerators as per given numbers 3885/81, 2549/429 is

GCF of Numerators i.e. for 3885,2549 is 1

LCM of denominators i.e. for 81,429 is 11583.

Thus, GCF of Fractions is 1/11583.Finally, GCF of Fractions for 3885/81, 2549/429 is 1/11583.