Greatest Common Factor of 2994/275, 2294/9143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2994/275, 2294/9143

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 2994/275,2294/9143

Given fractions are 2994/275,2294/9143

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 2994,2294

Greatest Common Factor of Numerators i.e. GCF of 2994,2294 is 2 .

LCM of Denominators means LCM of 275,9143 as per the given fractions.

LCM of 275,9143 is 2514325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2994,2294

GCF of Fractions 2994/275,2294/9143 is 2/2514325

2 2994, 2294
1497, 1147

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

Greatest Common Factor of 2994,2294 By Matching Biggest Common Factor Method

Greatest Common Factor of 2994,2294 By Matching Biggest Common Factor Method

Factors of 2994

List of positive integer factors of 2994 that divides 2994 without a remainder.

1,2,3,6,499,998,1497,2994

Factors of 2294

List of positive integer factors of 2294 that divides 2294 without a remainder.

1,2,31,37,62,74,1147,2294

Greatest Common Factor

We found the factors 2994,2294 . The biggest common factor number is the GCF number.
So the greatest common factor 2994,2294 is 2.

Lets's calculate LCM of 275,9143

Given numbers has no common factors except 1. So, there LCM is their product i.e 2514325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2514325

Therefore, the GCF of Fractions 2994/275,2294/9143 is 2/2514325

Least Common Multiple of 275,9143 with GCF Formula

Least Common Multiple of 275,9143 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 275,9143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,9143) = 1

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

GCF(275,9143) x common factors =1 x 1 = 1

LCM(275,9143) = ( 275 × 9143 ) / 1

LCM(275,9143) = 2514325 / 1

LCM(275,9143) = 2514325


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 2994/275, 2294/9143

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 2994/275, 2294/9143?

Answer: GCF of Numerators as per given numbers 2994/275, 2294/9143 is

GCF of Numerators i.e. for 2994,2294 is 2

LCM of denominators i.e. for 275,9143 is 2514325.

Thus, GCF of Fractions is 2/2514325.Finally, GCF of Fractions for 2994/275, 2294/9143 is 2/2514325.