Greatest Common Factor of 7424/295, 2998/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7424/295, 2998/159

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 7424/295,2998/159

Given fractions are 7424/295,2998/159

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 7424,2998

Greatest Common Factor of Numerators i.e. GCF of 7424,2998 is 2 .

LCM of Denominators means LCM of 295,159 as per the given fractions.

LCM of 295,159 is 46905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7424,2998

GCF of Fractions 7424/295,2998/159 is 2/46905

2 7424, 2998
3712, 1499

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

Greatest Common Factor of 7424,2998 By Matching Biggest Common Factor Method

Greatest Common Factor of 7424,2998 By Matching Biggest Common Factor Method

Factors of 7424

List of positive integer factors of 7424 that divides 7424 without a remainder.

1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1,2,1499,2998

Greatest Common Factor

We found the factors 7424,2998 . The biggest common factor number is the GCF number.
So the greatest common factor 7424,2998 is 2.

Lets's calculate LCM of 295,159

Given numbers has no common factors except 1. So, there LCM is their product i.e 46905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46905

Therefore, the GCF of Fractions 7424/295,2998/159 is 2/46905

Least Common Multiple of 295,159 with GCF Formula

Least Common Multiple of 295,159 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 295,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,159) = 1

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

GCF(295,159) x common factors =1 x 1 = 1

LCM(295,159) = ( 295 × 159 ) / 1

LCM(295,159) = 46905 / 1

LCM(295,159) = 46905


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 7424/295, 2998/159

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 7424/295, 2998/159?

Answer: GCF of Numerators as per given numbers 7424/295, 2998/159 is

GCF of Numerators i.e. for 7424,2998 is 2

LCM of denominators i.e. for 295,159 is 46905.

Thus, GCF of Fractions is 2/46905.Finally, GCF of Fractions for 7424/295, 2998/159 is 2/46905.