Greatest Common Factor of 7458/197, 6933/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7458/197, 6933/644

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 7458/197,6933/644

Given fractions are 7458/197,6933/644

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 7458,6933

Greatest Common Factor of Numerators i.e. GCF of 7458,6933 is 3 .

LCM of Denominators means LCM of 197,644 as per the given fractions.

LCM of 197,644 is 126868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7458,6933

GCF of Fractions 7458/197,6933/644 is 3/126868

3 7458, 6933
2486, 2311

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7458,6933 By Matching Biggest Common Factor Method

Greatest Common Factor of 7458,6933 By Matching Biggest Common Factor Method

Factors of 7458

List of positive integer factors of 7458 that divides 7458 without a remainder.

1,2,3,6,11,22,33,66,113,226,339,678,1243,2486,3729,7458

Factors of 6933

List of positive integer factors of 6933 that divides 6933 without a remainder.

1,3,2311,6933

Greatest Common Factor

We found the factors 7458,6933 . The biggest common factor number is the GCF number.
So the greatest common factor 7458,6933 is 3.

Lets's calculate LCM of 197,644

Given numbers has no common factors except 1. So, there LCM is their product i.e 126868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/126868

Therefore, the GCF of Fractions 7458/197,6933/644 is 3/126868

Least Common Multiple of 197,644 with GCF Formula

Least Common Multiple of 197,644 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 197,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(197,644) = 1

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

GCF(197,644) x common factors =1 x 1 = 1

LCM(197,644) = ( 197 × 644 ) / 1

LCM(197,644) = 126868 / 1

LCM(197,644) = 126868


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 7458/197, 6933/644

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 7458/197, 6933/644?

Answer: GCF of Numerators as per given numbers 7458/197, 6933/644 is

GCF of Numerators i.e. for 7458,6933 is 3

LCM of denominators i.e. for 197,644 is 126868.

Thus, GCF of Fractions is 3/126868.Finally, GCF of Fractions for 7458/197, 6933/644 is 3/126868.