Greatest Common Factor of 132/594, 514/813, 603/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 132/594, 514/813, 603/409

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 132/594,514/813,603/409

Given fractions are 132/594,514/813,603/409

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 132,514,603

Greatest Common Factor of Numerators i.e. GCF of 132,514,603 is 1 .

LCM of Denominators means LCM of 594,813,409 as per the given fractions.

LCM of 594,813,409 is 65838366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 132,514,603

GCF of Fractions 132/594,514/813,603/409 is 1/65838366

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

Greatest Common Factor of 132,514,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,514,603 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 132,514,603 . The biggest common factor number is the GCF number.
So the greatest common factor 132,514,603 is 1.

Lets's calculate LCM of 594,813,409

3 594, 813, 409
198, 271, 409

∴ So the LCM of the given numbers is 3 x 198 x 271 x 409 = 65838366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65838366

Therefore, the GCF of Fractions 132/594,514/813,603/409 is 1/65838366

Least Common Multiple of 594,813,409 with GCF Formula

Least Common Multiple of 594,813,409 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 594,813,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,813,409) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(594,813,409) x common factors =1 x 3 = 3

LCM(594,813,409) = ( 594 × 813 × 409 ) / 3

LCM(594,813,409) = 197515098 / 3

LCM(594,813,409) = 65838366


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 132/594, 514/813, 603/409

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 132/594, 514/813, 603/409?

Answer: GCF of Numerators as per given numbers 132/594, 514/813, 603/409 is

GCF of Numerators i.e. for 132,514,603 is 1

LCM of denominators i.e. for 594,813,409 is 65838366.

Thus, GCF of Fractions is 1/65838366.Finally, GCF of Fractions for 132/594, 514/813, 603/409 is 1/65838366.