Greatest Common Factor of 883/83, 587/20, 653/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 883/83, 587/20, 653/23

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 883/83,587/20,653/23

Given fractions are 883/83,587/20,653/23

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 883,587,653

Greatest Common Factor of Numerators i.e. GCF of 883,587,653 is 1 .

LCM of Denominators means LCM of 83,20,23 as per the given fractions.

LCM of 83,20,23 is 38180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 883,587,653

GCF of Fractions 883/83,587/20,653/23 is 1/38180

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

Greatest Common Factor of 883,587,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,587,653 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 883,587,653 . The biggest common factor number is the GCF number.
So the greatest common factor 883,587,653 is 1.


Lets's calculate LCM of 83,20,23

Given numbers has no common factors except 1. So, there LCM is their product i.e 38180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38180

Therefore, the GCF of Fractions 883/83,587/20,653/23 is 1/38180

Least Common Multiple of 83,20,23 with GCF Formula

Least Common Multiple of 83,20,23 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 83,20,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,20,23) = 1

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

GCF(83,20,23) x common factors =1 x 1 = 1

LCM(83,20,23) = ( 83 × 20 × 23 ) / 1

LCM(83,20,23) = 38180 / 1

LCM(83,20,23) = 38180


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 883/83, 587/20, 653/23

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 883/83, 587/20, 653/23?

Answer: GCF of Numerators as per given numbers 883/83, 587/20, 653/23 is

GCF of Numerators i.e. for 883,587,653 is 1

LCM of denominators i.e. for 83,20,23 is 38180.

Thus, GCF of Fractions is 1/38180.Finally, GCF of Fractions for 883/83, 587/20, 653/23 is 1/38180.