Greatest Common Factor of 73/31, 83/650, 522/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/31, 83/650, 522/838

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 73/31,83/650,522/838

Given fractions are 73/31,83/650,522/838

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 73,83,522

Greatest Common Factor of Numerators i.e. GCF of 73,83,522 is 1 .

LCM of Denominators means LCM of 31,650,838 as per the given fractions.

LCM of 31,650,838 is 8442850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,83,522

GCF of Fractions 73/31,83/650,522/838 is 1/8442850

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

Greatest Common Factor of 73,83,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,83,522 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 73,83,522 . The biggest common factor number is the GCF number.
So the greatest common factor 73,83,522 is 1.

Lets's calculate LCM of 31,650,838

2 31, 650, 838
31, 325, 419

∴ So the LCM of the given numbers is 2 x 31 x 325 x 419 = 8442850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8442850

Therefore, the GCF of Fractions 73/31,83/650,522/838 is 1/8442850

Least Common Multiple of 31,650,838 with GCF Formula

Least Common Multiple of 31,650,838 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 31,650,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,650,838) = 1

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

GCF(31,650,838) x common factors =1 x 2 = 2

LCM(31,650,838) = ( 31 × 650 × 838 ) / 2

LCM(31,650,838) = 16885700 / 2

LCM(31,650,838) = 8442850


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 73/31, 83/650, 522/838

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 73/31, 83/650, 522/838?

Answer: GCF of Numerators as per given numbers 73/31, 83/650, 522/838 is

GCF of Numerators i.e. for 73,83,522 is 1

LCM of denominators i.e. for 31,650,838 is 8442850.

Thus, GCF of Fractions is 1/8442850.Finally, GCF of Fractions for 73/31, 83/650, 522/838 is 1/8442850.