Greatest Common Factor of 3134/363, 3663/2154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3134/363, 3663/2154

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 3134/363,3663/2154

Given fractions are 3134/363,3663/2154

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 3134,3663

Greatest Common Factor of Numerators i.e. GCF of 3134,3663 is 1 .

LCM of Denominators means LCM of 363,2154 as per the given fractions.

LCM of 363,2154 is 260634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3134,3663

GCF of Fractions 3134/363,3663/2154 is 1/260634

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

Greatest Common Factor of 3134,3663 By Matching Biggest Common Factor Method

Greatest Common Factor of 3134,3663 By Matching Biggest Common Factor Method

Factors of 3134

List of positive integer factors of 3134 that divides 3134 without a remainder.

1,2,1567,3134

Factors of 3663

List of positive integer factors of 3663 that divides 3663 without a remainder.

1,3,9,11,33,37,99,111,333,407,1221,3663

Greatest Common Factor

We found the factors 3134,3663 . The biggest common factor number is the GCF number.
So the greatest common factor 3134,3663 is 1.

Lets's calculate LCM of 363,2154

3 363, 2154
121, 718

∴ So the LCM of the given numbers is 3 x 121 x 718 = 260634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/260634

Therefore, the GCF of Fractions 3134/363,3663/2154 is 1/260634

Least Common Multiple of 363,2154 with GCF Formula

Least Common Multiple of 363,2154 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 363,2154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,2154) = 3

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

GCF(363,2154) x common factors =3 x 1 = 3

LCM(363,2154) = ( 363 × 2154 ) / 3

LCM(363,2154) = 781902 / 3

LCM(363,2154) = 260634


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 3134/363, 3663/2154

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 3134/363, 3663/2154?

Answer: GCF of Numerators as per given numbers 3134/363, 3663/2154 is

GCF of Numerators i.e. for 3134,3663 is 1

LCM of denominators i.e. for 363,2154 is 260634.

Thus, GCF of Fractions is 1/260634.Finally, GCF of Fractions for 3134/363, 3663/2154 is 1/260634.