Greatest Common Factor of 2146/295, 7146/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2146/295, 7146/963

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 2146/295,7146/963

Given fractions are 2146/295,7146/963

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 2146,7146

Greatest Common Factor of Numerators i.e. GCF of 2146,7146 is 2 .

LCM of Denominators means LCM of 295,963 as per the given fractions.

LCM of 295,963 is 284085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2146,7146

GCF of Fractions 2146/295,7146/963 is 2/284085

2 2146, 7146
1073, 3573

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

Greatest Common Factor of 2146,7146 By Matching Biggest Common Factor Method

Greatest Common Factor of 2146,7146 By Matching Biggest Common Factor Method

Factors of 2146

List of positive integer factors of 2146 that divides 2146 without a remainder.

1,2,29,37,58,74,1073,2146

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1,2,3,6,9,18,397,794,1191,2382,3573,7146

Greatest Common Factor

We found the factors 2146,7146 . The biggest common factor number is the GCF number.
So the greatest common factor 2146,7146 is 2.

Lets's calculate LCM of 295,963

Given numbers has no common factors except 1. So, there LCM is their product i.e 284085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/284085

Therefore, the GCF of Fractions 2146/295,7146/963 is 2/284085

Least Common Multiple of 295,963 with GCF Formula

Least Common Multiple of 295,963 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 295,963 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(295,963) = 1

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

GCF(295,963) x common factors =1 x 1 = 1

LCM(295,963) = ( 295 × 963 ) / 1

LCM(295,963) = 284085 / 1

LCM(295,963) = 284085


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 2146/295, 7146/963

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 2146/295, 7146/963?

Answer: GCF of Numerators as per given numbers 2146/295, 7146/963 is

GCF of Numerators i.e. for 2146,7146 is 2

LCM of denominators i.e. for 295,963 is 284085.

Thus, GCF of Fractions is 2/284085.Finally, GCF of Fractions for 2146/295, 7146/963 is 2/284085.