Greatest Common Factor of 930/715, 7393/5110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 930/715, 7393/5110

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 930/715,7393/5110

Given fractions are 930/715,7393/5110

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 930,7393

Greatest Common Factor of Numerators i.e. GCF of 930,7393 is 1 .

LCM of Denominators means LCM of 715,5110 as per the given fractions.

LCM of 715,5110 is 730730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 930,7393

GCF of Fractions 930/715,7393/5110 is 1/730730

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

Greatest Common Factor of 930,7393 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,7393 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 7393

List of positive integer factors of 7393 that divides 7393 without a remainder.

1,7393

Greatest Common Factor

We found the factors 930,7393 . The biggest common factor number is the GCF number.
So the greatest common factor 930,7393 is 1.

Lets's calculate LCM of 715,5110

5 715, 5110
143, 1022

∴ So the LCM of the given numbers is 5 x 143 x 1022 = 730730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730730

Therefore, the GCF of Fractions 930/715,7393/5110 is 1/730730

Least Common Multiple of 715,5110 with GCF Formula

Least Common Multiple of 715,5110 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 715,5110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,5110) = 5

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

GCF(715,5110) x common factors =5 x 1 = 5

LCM(715,5110) = ( 715 × 5110 ) / 5

LCM(715,5110) = 3653650 / 5

LCM(715,5110) = 730730


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 930/715, 7393/5110

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 930/715, 7393/5110?

Answer: GCF of Numerators as per given numbers 930/715, 7393/5110 is

GCF of Numerators i.e. for 930,7393 is 1

LCM of denominators i.e. for 715,5110 is 730730.

Thus, GCF of Fractions is 1/730730.Finally, GCF of Fractions for 930/715, 7393/5110 is 1/730730.