Greatest Common Factor of 7405/214, 9995/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7405/214, 9995/438

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 7405/214,9995/438

Given fractions are 7405/214,9995/438

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 7405,9995

Greatest Common Factor of Numerators i.e. GCF of 7405,9995 is 5 .

LCM of Denominators means LCM of 214,438 as per the given fractions.

LCM of 214,438 is 46866 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7405,9995

GCF of Fractions 7405/214,9995/438 is 5/46866

5 7405, 9995
1481, 1999

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7405,9995 By Matching Biggest Common Factor Method

Greatest Common Factor of 7405,9995 By Matching Biggest Common Factor Method

Factors of 7405

List of positive integer factors of 7405 that divides 7405 without a remainder.

1,5,1481,7405

Factors of 9995

List of positive integer factors of 9995 that divides 9995 without a remainder.

1,5,1999,9995

Greatest Common Factor

We found the factors 7405,9995 . The biggest common factor number is the GCF number.
So the greatest common factor 7405,9995 is 5.

Lets's calculate LCM of 214,438

2 214, 438
107, 219

∴ So the LCM of the given numbers is 2 x 107 x 219 = 46866

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/46866

Therefore, the GCF of Fractions 7405/214,9995/438 is 5/46866

Least Common Multiple of 214,438 with GCF Formula

Least Common Multiple of 214,438 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 214,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,438) = 2

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

GCF(214,438) x common factors =2 x 1 = 2

LCM(214,438) = ( 214 × 438 ) / 2

LCM(214,438) = 93732 / 2

LCM(214,438) = 46866


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 7405/214, 9995/438

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 7405/214, 9995/438?

Answer: GCF of Numerators as per given numbers 7405/214, 9995/438 is

GCF of Numerators i.e. for 7405,9995 is 5

LCM of denominators i.e. for 214,438 is 46866.

Thus, GCF of Fractions is 5/46866.Finally, GCF of Fractions for 7405/214, 9995/438 is 5/46866.