Greatest Common Factor of 2994/910, 4067/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2994/910, 4067/225

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 2994/910,4067/225

Given fractions are 2994/910,4067/225

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 2994,4067

Greatest Common Factor of Numerators i.e. GCF of 2994,4067 is 1 .

LCM of Denominators means LCM of 910,225 as per the given fractions.

LCM of 910,225 is 40950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2994,4067

GCF of Fractions 2994/910,4067/225 is 1/40950

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

Greatest Common Factor of 2994,4067 By Matching Biggest Common Factor Method

Greatest Common Factor of 2994,4067 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 4067

List of positive integer factors of 4067 that divides 4067 without a remainder.

1,7,49,83,581,4067

Greatest Common Factor

We found the factors 2994,4067 . The biggest common factor number is the GCF number.
So the greatest common factor 2994,4067 is 1.

Lets's calculate LCM of 910,225

5 910, 225
182, 45

∴ So the LCM of the given numbers is 5 x 182 x 45 = 40950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40950

Therefore, the GCF of Fractions 2994/910,4067/225 is 1/40950

Least Common Multiple of 910,225 with GCF Formula

Least Common Multiple of 910,225 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 910,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,225) = 5

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

GCF(910,225) x common factors =5 x 1 = 5

LCM(910,225) = ( 910 × 225 ) / 5

LCM(910,225) = 204750 / 5

LCM(910,225) = 40950


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 2994/910, 4067/225

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 2994/910, 4067/225?

Answer: GCF of Numerators as per given numbers 2994/910, 4067/225 is

GCF of Numerators i.e. for 2994,4067 is 1

LCM of denominators i.e. for 910,225 is 40950.

Thus, GCF of Fractions is 1/40950.Finally, GCF of Fractions for 2994/910, 4067/225 is 1/40950.