Greatest Common Factor of 17/819, 35/806, 803/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/819, 35/806, 803/829

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 17/819,35/806,803/829

Given fractions are 17/819,35/806,803/829

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 17,35,803

Greatest Common Factor of Numerators i.e. GCF of 17,35,803 is 1 .

LCM of Denominators means LCM of 819,806,829 as per the given fractions.

LCM of 819,806,829 is 42094962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,35,803

GCF of Fractions 17/819,35/806,803/829 is 1/42094962

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

Greatest Common Factor of 17,35,803 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,35,803 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Greatest Common Factor

We found the factors 17,35,803 . The biggest common factor number is the GCF number.
So the greatest common factor 17,35,803 is 1.

Lets's calculate LCM of 819,806,829

13 819, 806, 829
63, 62, 829

∴ So the LCM of the given numbers is 13 x 63 x 62 x 829 = 42094962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42094962

Therefore, the GCF of Fractions 17/819,35/806,803/829 is 1/42094962

Least Common Multiple of 819,806,829 with GCF Formula

Least Common Multiple of 819,806,829 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 819,806,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,806,829) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(819,806,829) x common factors =1 x 13 = 13

LCM(819,806,829) = ( 819 × 806 × 829 ) / 13

LCM(819,806,829) = 547234506 / 13

LCM(819,806,829) = 42094962


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 17/819, 35/806, 803/829

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 17/819, 35/806, 803/829?

Answer: GCF of Numerators as per given numbers 17/819, 35/806, 803/829 is

GCF of Numerators i.e. for 17,35,803 is 1

LCM of denominators i.e. for 819,806,829 is 42094962.

Thus, GCF of Fractions is 1/42094962.Finally, GCF of Fractions for 17/819, 35/806, 803/829 is 1/42094962.