Greatest Common Factor of 7405/722, 2361/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7405/722, 2361/110

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 7405/722,2361/110

Given fractions are 7405/722,2361/110

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 7405,2361

Greatest Common Factor of Numerators i.e. GCF of 7405,2361 is 1 .

LCM of Denominators means LCM of 722,110 as per the given fractions.

LCM of 722,110 is 39710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7405,2361

GCF of Fractions 7405/722,2361/110 is 1/39710

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

Greatest Common Factor of 7405,2361 By Matching Biggest Common Factor Method

Greatest Common Factor of 7405,2361 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 2361

List of positive integer factors of 2361 that divides 2361 without a remainder.

1,3,787,2361

Greatest Common Factor

We found the factors 7405,2361 . The biggest common factor number is the GCF number.
So the greatest common factor 7405,2361 is 1.

Lets's calculate LCM of 722,110

2 722, 110
361, 55

∴ So the LCM of the given numbers is 2 x 361 x 55 = 39710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39710

Therefore, the GCF of Fractions 7405/722,2361/110 is 1/39710

Least Common Multiple of 722,110 with GCF Formula

Least Common Multiple of 722,110 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 722,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,110) = 2

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

GCF(722,110) x common factors =2 x 1 = 2

LCM(722,110) = ( 722 × 110 ) / 2

LCM(722,110) = 79420 / 2

LCM(722,110) = 39710


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 7405/722, 2361/110

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 7405/722, 2361/110?

Answer: GCF of Numerators as per given numbers 7405/722, 2361/110 is

GCF of Numerators i.e. for 7405,2361 is 1

LCM of denominators i.e. for 722,110 is 39710.

Thus, GCF of Fractions is 1/39710.Finally, GCF of Fractions for 7405/722, 2361/110 is 1/39710.