Greatest Common Factor of 821/39, 124/17, 773/499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 821/39, 124/17, 773/499

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 821/39,124/17,773/499

Given fractions are 821/39,124/17,773/499

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 821,124,773

Greatest Common Factor of Numerators i.e. GCF of 821,124,773 is 1 .

LCM of Denominators means LCM of 39,17,499 as per the given fractions.

LCM of 39,17,499 is 330837 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 821,124,773

GCF of Fractions 821/39,124/17,773/499 is 1/330837

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

Greatest Common Factor of 821,124,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,124,773 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 821,124,773 . The biggest common factor number is the GCF number.
So the greatest common factor 821,124,773 is 1.

Lets's calculate LCM of 39,17,499

Given numbers has no common factors except 1. So, there LCM is their product i.e 330837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330837

Therefore, the GCF of Fractions 821/39,124/17,773/499 is 1/330837

Least Common Multiple of 39,17,499 with GCF Formula

Least Common Multiple of 39,17,499 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 39,17,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,17,499) = 1

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

GCF(39,17,499) x common factors =1 x 1 = 1

LCM(39,17,499) = ( 39 × 17 × 499 ) / 1

LCM(39,17,499) = 330837 / 1

LCM(39,17,499) = 330837


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 821/39, 124/17, 773/499

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 821/39, 124/17, 773/499?

Answer: GCF of Numerators as per given numbers 821/39, 124/17, 773/499 is

GCF of Numerators i.e. for 821,124,773 is 1

LCM of denominators i.e. for 39,17,499 is 330837.

Thus, GCF of Fractions is 1/330837.Finally, GCF of Fractions for 821/39, 124/17, 773/499 is 1/330837.