Greatest Common Factor of 2998/967, 8918/8928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2998/967, 8918/8928

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 2998/967,8918/8928

Given fractions are 2998/967,8918/8928

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 2998,8918

Greatest Common Factor of Numerators i.e. GCF of 2998,8918 is 2 .

LCM of Denominators means LCM of 967,8928 as per the given fractions.

LCM of 967,8928 is 8633376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2998,8918

GCF of Fractions 2998/967,8918/8928 is 2/8633376

2 2998, 8918
1499, 4459

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

Greatest Common Factor of 2998,8918 By Matching Biggest Common Factor Method

Greatest Common Factor of 2998,8918 By Matching Biggest Common Factor Method

Factors of 2998

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

1,2,1499,2998

Factors of 8918

List of positive integer factors of 8918 that divides 8918 without a remainder.

1,2,7,13,14,26,49,91,98,182,343,637,686,1274,4459,8918

Greatest Common Factor

We found the factors 2998,8918 . The biggest common factor number is the GCF number.
So the greatest common factor 2998,8918 is 2.

Lets's calculate LCM of 967,8928

Given numbers has no common factors except 1. So, there LCM is their product i.e 8633376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8633376

Therefore, the GCF of Fractions 2998/967,8918/8928 is 2/8633376

Least Common Multiple of 967,8928 with GCF Formula

Least Common Multiple of 967,8928 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 967,8928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,8928) = 1

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

GCF(967,8928) x common factors =1 x 1 = 1

LCM(967,8928) = ( 967 × 8928 ) / 1

LCM(967,8928) = 8633376 / 1

LCM(967,8928) = 8633376


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 2998/967, 8918/8928

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 2998/967, 8918/8928?

Answer: GCF of Numerators as per given numbers 2998/967, 8918/8928 is

GCF of Numerators i.e. for 2998,8918 is 2

LCM of denominators i.e. for 967,8928 is 8633376.

Thus, GCF of Fractions is 2/8633376.Finally, GCF of Fractions for 2998/967, 8918/8928 is 2/8633376.