Greatest Common Factor of 133/160, 476/746, 734/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 133/160, 476/746, 734/500

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 133/160,476/746,734/500

Given fractions are 133/160,476/746,734/500

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 133,476,734

Greatest Common Factor of Numerators i.e. GCF of 133,476,734 is 1 .

LCM of Denominators means LCM of 160,746,500 as per the given fractions.

LCM of 160,746,500 is 1492000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 133,476,734

GCF of Fractions 133/160,476/746,734/500 is 1/1492000

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

Greatest Common Factor of 133,476,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,476,734 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 133,476,734 . The biggest common factor number is the GCF number.
So the greatest common factor 133,476,734 is 1.

Lets's calculate LCM of 160,746,500

2 160, 746, 500
2 80, 373, 250
5 40, 373, 125
8, 373, 25

∴ So the LCM of the given numbers is 2 x 2 x 5 x 8 x 373 x 25 = 1492000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1492000

Therefore, the GCF of Fractions 133/160,476/746,734/500 is 1/1492000

Least Common Multiple of 160,746,500 with GCF Formula

Least Common Multiple of 160,746,500 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 160,746,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,746,500) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(160,746,500) x common factors =2 x 20 = 40

LCM(160,746,500) = ( 160 × 746 × 500 ) / 40

LCM(160,746,500) = 59680000 / 40

LCM(160,746,500) = 1492000


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 133/160, 476/746, 734/500

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 133/160, 476/746, 734/500?

Answer: GCF of Numerators as per given numbers 133/160, 476/746, 734/500 is

GCF of Numerators i.e. for 133,476,734 is 1

LCM of denominators i.e. for 160,746,500 is 1492000.

Thus, GCF of Fractions is 1/1492000.Finally, GCF of Fractions for 133/160, 476/746, 734/500 is 1/1492000.