Greatest Common Factor of 73/202, 788/523, 176/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 73/202, 788/523, 176/302

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 73/202,788/523,176/302

Given fractions are 73/202,788/523,176/302

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 73,788,176

Greatest Common Factor of Numerators i.e. GCF of 73,788,176 is 1 .

LCM of Denominators means LCM of 202,523,302 as per the given fractions.

LCM of 202,523,302 is 15952546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 73,788,176

GCF of Fractions 73/202,788/523,176/302 is 1/15952546

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

Greatest Common Factor of 73,788,176 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,788,176 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 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 73,788,176 . The biggest common factor number is the GCF number.
So the greatest common factor 73,788,176 is 1.

Lets's calculate LCM of 202,523,302

2 202, 523, 302
101, 523, 151

∴ So the LCM of the given numbers is 2 x 101 x 523 x 151 = 15952546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15952546

Therefore, the GCF of Fractions 73/202,788/523,176/302 is 1/15952546

Least Common Multiple of 202,523,302 with GCF Formula

Least Common Multiple of 202,523,302 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 202,523,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,523,302) = 1

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

GCF(202,523,302) x common factors =1 x 2 = 2

LCM(202,523,302) = ( 202 × 523 × 302 ) / 2

LCM(202,523,302) = 31905092 / 2

LCM(202,523,302) = 15952546


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 73/202, 788/523, 176/302

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 73/202, 788/523, 176/302?

Answer: GCF of Numerators as per given numbers 73/202, 788/523, 176/302 is

GCF of Numerators i.e. for 73,788,176 is 1

LCM of denominators i.e. for 202,523,302 is 15952546.

Thus, GCF of Fractions is 1/15952546.Finally, GCF of Fractions for 73/202, 788/523, 176/302 is 1/15952546.