Greatest Common Factor of 98/204, 21/107, 623/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/204, 21/107, 623/413

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 98/204,21/107,623/413

Given fractions are 98/204,21/107,623/413

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 98,21,623

Greatest Common Factor of Numerators i.e. GCF of 98,21,623 is 7 .

LCM of Denominators means LCM of 204,107,413 as per the given fractions.

LCM of 204,107,413 is 9014964 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,21,623

GCF of Fractions 98/204,21/107,623/413 is 7/9014964

7 98, 21, 623
14, 3, 89

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 98,21,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,21,623 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 98,21,623 . The biggest common factor number is the GCF number.
So the greatest common factor 98,21,623 is 7.

Lets's calculate LCM of 204,107,413

Given numbers has no common factors except 1. So, there LCM is their product i.e 9014964

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/9014964

Therefore, the GCF of Fractions 98/204,21/107,623/413 is 7/9014964

Least Common Multiple of 204,107,413 with GCF Formula

Least Common Multiple of 204,107,413 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 204,107,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,107,413) = 1

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

GCF(204,107,413) x common factors =1 x 1 = 1

LCM(204,107,413) = ( 204 × 107 × 413 ) / 1

LCM(204,107,413) = 9014964 / 1

LCM(204,107,413) = 9014964


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 98/204, 21/107, 623/413

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 98/204, 21/107, 623/413?

Answer: GCF of Numerators as per given numbers 98/204, 21/107, 623/413 is

GCF of Numerators i.e. for 98,21,623 is 7

LCM of denominators i.e. for 204,107,413 is 9014964.

Thus, GCF of Fractions is 7/9014964.Finally, GCF of Fractions for 98/204, 21/107, 623/413 is 7/9014964.