Greatest Common Factor of 817/31, 532/40, 829/66

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 817/31, 532/40, 829/66

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 817/31,532/40,829/66

Given fractions are 817/31,532/40,829/66

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 817,532,829

Greatest Common Factor of Numerators i.e. GCF of 817,532,829 is 1 .

LCM of Denominators means LCM of 31,40,66 as per the given fractions.

LCM of 31,40,66 is 40920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 817,532,829

GCF of Fractions 817/31,532/40,829/66 is 1/40920

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

Greatest Common Factor of 817,532,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,532,829 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 817,532,829 . The biggest common factor number is the GCF number.
So the greatest common factor 817,532,829 is 1.

Lets's calculate LCM of 31,40,66

2 31, 40, 66
31, 20, 33

∴ So the LCM of the given numbers is 2 x 31 x 20 x 33 = 40920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40920

Therefore, the GCF of Fractions 817/31,532/40,829/66 is 1/40920

Least Common Multiple of 31,40,66 with GCF Formula

Least Common Multiple of 31,40,66 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 31,40,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,40,66) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(31,40,66) x common factors =1 x 2 = 2

LCM(31,40,66) = ( 31 × 40 × 66 ) / 2

LCM(31,40,66) = 81840 / 2

LCM(31,40,66) = 40920


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 817/31, 532/40, 829/66

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 817/31, 532/40, 829/66?

Answer: GCF of Numerators as per given numbers 817/31, 532/40, 829/66 is

GCF of Numerators i.e. for 817,532,829 is 1

LCM of denominators i.e. for 31,40,66 is 40920.

Thus, GCF of Fractions is 1/40920.Finally, GCF of Fractions for 817/31, 532/40, 829/66 is 1/40920.