Greatest Common Factor of 1198/622, 4675/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1198/622, 4675/722

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 1198/622,4675/722

Given fractions are 1198/622,4675/722

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 1198,4675

Greatest Common Factor of Numerators i.e. GCF of 1198,4675 is 1 .

LCM of Denominators means LCM of 622,722 as per the given fractions.

LCM of 622,722 is 224542 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1198,4675

GCF of Fractions 1198/622,4675/722 is 1/224542

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

Greatest Common Factor of 1198,4675 By Matching Biggest Common Factor Method

Greatest Common Factor of 1198,4675 By Matching Biggest Common Factor Method

Factors of 1198

List of positive integer factors of 1198 that divides 1198 without a remainder.

1,2,599,1198

Factors of 4675

List of positive integer factors of 4675 that divides 4675 without a remainder.

1,5,11,17,25,55,85,187,275,425,935,4675

Greatest Common Factor

We found the factors 1198,4675 . The biggest common factor number is the GCF number.
So the greatest common factor 1198,4675 is 1.

Lets's calculate LCM of 622,722

2 622, 722
311, 361

∴ So the LCM of the given numbers is 2 x 311 x 361 = 224542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224542

Therefore, the GCF of Fractions 1198/622,4675/722 is 1/224542

Least Common Multiple of 622,722 with GCF Formula

Least Common Multiple of 622,722 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 622,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,722) = 2

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

GCF(622,722) x common factors =2 x 1 = 2

LCM(622,722) = ( 622 × 722 ) / 2

LCM(622,722) = 449084 / 2

LCM(622,722) = 224542


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 1198/622, 4675/722

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 1198/622, 4675/722?

Answer: GCF of Numerators as per given numbers 1198/622, 4675/722 is

GCF of Numerators i.e. for 1198,4675 is 1

LCM of denominators i.e. for 622,722 is 224542.

Thus, GCF of Fractions is 1/224542.Finally, GCF of Fractions for 1198/622, 4675/722 is 1/224542.