Greatest Common Factor of 4314/198, 7963/3964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4314/198, 7963/3964

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 4314/198,7963/3964

Given fractions are 4314/198,7963/3964

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 4314,7963

Greatest Common Factor of Numerators i.e. GCF of 4314,7963 is 1 .

LCM of Denominators means LCM of 198,3964 as per the given fractions.

LCM of 198,3964 is 392436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4314,7963

GCF of Fractions 4314/198,7963/3964 is 1/392436

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

Greatest Common Factor of 4314,7963 By Matching Biggest Common Factor Method

Greatest Common Factor of 4314,7963 By Matching Biggest Common Factor Method

Factors of 4314

List of positive integer factors of 4314 that divides 4314 without a remainder.

1,2,3,6,719,1438,2157,4314

Factors of 7963

List of positive integer factors of 7963 that divides 7963 without a remainder.

1,7963

Greatest Common Factor

We found the factors 4314,7963 . The biggest common factor number is the GCF number.
So the greatest common factor 4314,7963 is 1.

Lets's calculate LCM of 198,3964

2 198, 3964
99, 1982

∴ So the LCM of the given numbers is 2 x 99 x 1982 = 392436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392436

Therefore, the GCF of Fractions 4314/198,7963/3964 is 1/392436

Least Common Multiple of 198,3964 with GCF Formula

Least Common Multiple of 198,3964 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 198,3964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,3964) = 2

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

GCF(198,3964) x common factors =2 x 1 = 2

LCM(198,3964) = ( 198 × 3964 ) / 2

LCM(198,3964) = 784872 / 2

LCM(198,3964) = 392436


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 4314/198, 7963/3964

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 4314/198, 7963/3964?

Answer: GCF of Numerators as per given numbers 4314/198, 7963/3964 is

GCF of Numerators i.e. for 4314,7963 is 1

LCM of denominators i.e. for 198,3964 is 392436.

Thus, GCF of Fractions is 1/392436.Finally, GCF of Fractions for 4314/198, 7963/3964 is 1/392436.