Greatest Common Factor of 188/31, 820/12, 557/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 188/31, 820/12, 557/23

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 188/31,820/12,557/23

Given fractions are 188/31,820/12,557/23

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 188,820,557

Greatest Common Factor of Numerators i.e. GCF of 188,820,557 is 1 .

LCM of Denominators means LCM of 31,12,23 as per the given fractions.

LCM of 31,12,23 is 8556 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 188,820,557

GCF of Fractions 188/31,820/12,557/23 is 1/8556

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

Greatest Common Factor of 188,820,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,820,557 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 188,820,557 . The biggest common factor number is the GCF number.
So the greatest common factor 188,820,557 is 1.

Lets's calculate LCM of 31,12,23

Given numbers has no common factors except 1. So, there LCM is their product i.e 8556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8556

Therefore, the GCF of Fractions 188/31,820/12,557/23 is 1/8556

Least Common Multiple of 31,12,23 with GCF Formula

Least Common Multiple of 31,12,23 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 31,12,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,12,23) = 1

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

GCF(31,12,23) x common factors =1 x 1 = 1

LCM(31,12,23) = ( 31 × 12 × 23 ) / 1

LCM(31,12,23) = 8556 / 1

LCM(31,12,23) = 8556


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 188/31, 820/12, 557/23

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 188/31, 820/12, 557/23?

Answer: GCF of Numerators as per given numbers 188/31, 820/12, 557/23 is

GCF of Numerators i.e. for 188,820,557 is 1

LCM of denominators i.e. for 31,12,23 is 8556.

Thus, GCF of Fractions is 1/8556.Finally, GCF of Fractions for 188/31, 820/12, 557/23 is 1/8556.