Greatest Common Factor of 5994/243, 6460/3174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5994/243, 6460/3174

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 5994/243,6460/3174

Given fractions are 5994/243,6460/3174

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 5994,6460

Greatest Common Factor of Numerators i.e. GCF of 5994,6460 is 2 .

LCM of Denominators means LCM of 243,3174 as per the given fractions.

LCM of 243,3174 is 257094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5994,6460

GCF of Fractions 5994/243,6460/3174 is 2/257094

2 5994, 6460
2997, 3230

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5994,6460 By Matching Biggest Common Factor Method

Greatest Common Factor of 5994,6460 By Matching Biggest Common Factor Method

Factors of 5994

List of positive integer factors of 5994 that divides 5994 without a remainder.

1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994

Factors of 6460

List of positive integer factors of 6460 that divides 6460 without a remainder.

1,2,4,5,10,17,19,20,34,38,68,76,85,95,170,190,323,340,380,646,1292,1615,3230,6460

Greatest Common Factor

We found the factors 5994,6460 . The biggest common factor number is the GCF number.
So the greatest common factor 5994,6460 is 2.

Lets's calculate LCM of 243,3174

3 243, 3174
81, 1058

∴ So the LCM of the given numbers is 3 x 81 x 1058 = 257094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/257094

Therefore, the GCF of Fractions 5994/243,6460/3174 is 2/257094

Least Common Multiple of 243,3174 with GCF Formula

Least Common Multiple of 243,3174 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 243,3174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,3174) = 3

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

GCF(243,3174) x common factors =3 x 1 = 3

LCM(243,3174) = ( 243 × 3174 ) / 3

LCM(243,3174) = 771282 / 3

LCM(243,3174) = 257094


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 5994/243, 6460/3174

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 5994/243, 6460/3174?

Answer: GCF of Numerators as per given numbers 5994/243, 6460/3174 is

GCF of Numerators i.e. for 5994,6460 is 2

LCM of denominators i.e. for 243,3174 is 257094.

Thus, GCF of Fractions is 2/257094.Finally, GCF of Fractions for 5994/243, 6460/3174 is 2/257094.