Greatest Common Factor of 1/83, 10/29, 19/500, 855/727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/83, 10/29, 19/500, 855/727

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 1/83,10/29,19/500,855/727

Given fractions are 1/83,10/29,19/500,855/727

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 1,10,19,855

Greatest Common Factor of Numerators i.e. GCF of 1,10,19,855 is 1 .

LCM of Denominators means LCM of 83,29,500,727 as per the given fractions.

LCM of 83,29,500,727 is 874944500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,10,19,855

GCF of Fractions 1/83,10/29,19/500,855/727 is 1/874944500

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

Greatest Common Factor of 1,10,19,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,10,19,855 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 1,10,19,855 . The biggest common factor number is the GCF number.
So the greatest common factor 1,10,19,855 is 1.

Lets's calculate LCM of 83,29,500,727

Given numbers has no common factors except 1. So, there LCM is their product i.e 874944500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/874944500

Therefore, the GCF of Fractions 1/83,10/29,19/500,855/727 is 1/874944500

Least Common Multiple of 83,29,500,727 with GCF Formula

Least Common Multiple of 83,29,500,727 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 83,29,500,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,29,500,727) = 1

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

GCF(83,29,500,727) x common factors =1 x 1 = 1

LCM(83,29,500,727) = ( 83 × 29 × 500 × 727 ) / 1

LCM(83,29,500,727) = 874944500 / 1

LCM(83,29,500,727) = 874944500


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 1/83, 10/29, 19/500, 855/727

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 1/83, 10/29, 19/500, 855/727?

Answer: GCF of Numerators as per given numbers 1/83, 10/29, 19/500, 855/727 is

GCF of Numerators i.e. for 1,10,19,855 is 1

LCM of denominators i.e. for 83,29,500,727 is 874944500.

Thus, GCF of Fractions is 1/874944500.Finally, GCF of Fractions for 1/83, 10/29, 19/500, 855/727 is 1/874944500.