Greatest Common Factor of 2/74, 12/53, 23/143, 167/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2/74, 12/53, 23/143, 167/691

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 2/74,12/53,23/143,167/691

Given fractions are 2/74,12/53,23/143,167/691

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 2,12,23,167

Greatest Common Factor of Numerators i.e. GCF of 2,12,23,167 is 1 .

LCM of Denominators means LCM of 74,53,143,691 as per the given fractions.

LCM of 74,53,143,691 is 387544586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2,12,23,167

GCF of Fractions 2/74,12/53,23/143,167/691 is 1/387544586

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

Greatest Common Factor of 2,12,23,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 2,12,23,167 By Matching Biggest Common Factor Method

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 2,12,23,167 . The biggest common factor number is the GCF number.
So the greatest common factor 2,12,23,167 is 1.

Lets's calculate LCM of 74,53,143,691

Given numbers has no common factors except 1. So, there LCM is their product i.e 387544586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387544586

Therefore, the GCF of Fractions 2/74,12/53,23/143,167/691 is 1/387544586

Least Common Multiple of 74,53,143,691 with GCF Formula

Least Common Multiple of 74,53,143,691 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 74,53,143,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,53,143,691) = 1

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

GCF(74,53,143,691) x common factors =1 x 1 = 1

LCM(74,53,143,691) = ( 74 × 53 × 143 × 691 ) / 1

LCM(74,53,143,691) = 387544586 / 1

LCM(74,53,143,691) = 387544586


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 2/74, 12/53, 23/143, 167/691

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 2/74, 12/53, 23/143, 167/691?

Answer: GCF of Numerators as per given numbers 2/74, 12/53, 23/143, 167/691 is

GCF of Numerators i.e. for 2,12,23,167 is 1

LCM of denominators i.e. for 74,53,143,691 is 387544586.

Thus, GCF of Fractions is 1/387544586.Finally, GCF of Fractions for 2/74, 12/53, 23/143, 167/691 is 1/387544586.