Greatest Common Factor of 113/105, 500/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 113/105, 500/623

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 113/105,500/623

Given fractions are 113/105,500/623

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 113,500

Greatest Common Factor of Numerators i.e. GCF of 113,500 is 1 .

LCM of Denominators means LCM of 105,623 as per the given fractions.

LCM of 105,623 is 9345 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 113,500

GCF of Fractions 113/105,500/623 is 1/9345

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

Greatest Common Factor of 113,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,500 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 113,500 . The biggest common factor number is the GCF number.
So the greatest common factor 113,500 is 1.

Lets's calculate LCM of 105,623

7 105, 623
15, 89

∴ So the LCM of the given numbers is 7 x 15 x 89 = 9345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9345

Therefore, the GCF of Fractions 113/105,500/623 is 1/9345

Least Common Multiple of 105,623 with GCF Formula

Least Common Multiple of 105,623 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 105,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,623) = 7

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

GCF(105,623) x common factors =7 x 1 = 7

LCM(105,623) = ( 105 × 623 ) / 7

LCM(105,623) = 65415 / 7

LCM(105,623) = 9345


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 113/105, 500/623

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 113/105, 500/623?

Answer: GCF of Numerators as per given numbers 113/105, 500/623 is

GCF of Numerators i.e. for 113,500 is 1

LCM of denominators i.e. for 105,623 is 9345.

Thus, GCF of Fractions is 1/9345.Finally, GCF of Fractions for 113/105, 500/623 is 1/9345.