Greatest Common Factor of 1447/24, 2918/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 1447/24, 2918/167

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 1447/24,2918/167

Given fractions are 1447/24,2918/167

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 1447,2918

Greatest Common Factor of Numerators i.e. GCF of 1447,2918 is 1 .

LCM of Denominators means LCM of 24,167 as per the given fractions.

LCM of 24,167 is 4008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1447,2918

GCF of Fractions 1447/24,2918/167 is 1/4008

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

Greatest Common Factor of 1447,2918 By Matching Biggest Common Factor Method

Greatest Common Factor of 1447,2918 By Matching Biggest Common Factor Method

Factors of 1447

List of positive integer factors of 1447 that divides 1447 without a remainder.

1,1447

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1,2,1459,2918

Greatest Common Factor

We found the factors 1447,2918 . The biggest common factor number is the GCF number.
So the greatest common factor 1447,2918 is 1.


Lets's calculate LCM of 24,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 4008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4008

Therefore, the GCF of Fractions 1447/24,2918/167 is 1/4008

Least Common Multiple of 24,167 with GCF Formula

Least Common Multiple of 24,167 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 24,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,167) = 1

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

GCF(24,167) x common factors =1 x 1 = 1

LCM(24,167) = ( 24 × 167 ) / 1

LCM(24,167) = 4008 / 1

LCM(24,167) = 4008


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 1447/24, 2918/167

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 1447/24, 2918/167?

Answer: GCF of Numerators as per given numbers 1447/24, 2918/167 is

GCF of Numerators i.e. for 1447,2918 is 1

LCM of denominators i.e. for 24,167 is 4008.

Thus, GCF of Fractions is 1/4008.Finally, GCF of Fractions for 1447/24, 2918/167 is 1/4008.