Greatest Common Factor of 110/715, 7073/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/715, 7073/405

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 110/715,7073/405

Given fractions are 110/715,7073/405

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 110,7073

Greatest Common Factor of Numerators i.e. GCF of 110,7073 is 11 .

LCM of Denominators means LCM of 715,405 as per the given fractions.

LCM of 715,405 is 57915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,7073

GCF of Fractions 110/715,7073/405 is 11/57915

11 110, 7073
10, 643

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 110,7073 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,7073 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 7073

List of positive integer factors of 7073 that divides 7073 without a remainder.

1,11,643,7073

Greatest Common Factor

We found the factors 110,7073 . The biggest common factor number is the GCF number.
So the greatest common factor 110,7073 is 11.

Lets's calculate LCM of 715,405

5 715, 405
143, 81

∴ So the LCM of the given numbers is 5 x 143 x 81 = 57915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/57915

Therefore, the GCF of Fractions 110/715,7073/405 is 11/57915

Least Common Multiple of 715,405 with GCF Formula

Least Common Multiple of 715,405 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 715,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,405) = 5

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

GCF(715,405) x common factors =5 x 1 = 5

LCM(715,405) = ( 715 × 405 ) / 5

LCM(715,405) = 289575 / 5

LCM(715,405) = 57915


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 110/715, 7073/405

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 110/715, 7073/405?

Answer: GCF of Numerators as per given numbers 110/715, 7073/405 is

GCF of Numerators i.e. for 110,7073 is 11

LCM of denominators i.e. for 715,405 is 57915.

Thus, GCF of Fractions is 11/57915.Finally, GCF of Fractions for 110/715, 7073/405 is 11/57915.