Greatest Common Factor of 38/67, 50/57, 500/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/67, 50/57, 500/333

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 38/67,50/57,500/333

Given fractions are 38/67,50/57,500/333

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 38,50,500

Greatest Common Factor of Numerators i.e. GCF of 38,50,500 is 2 .

LCM of Denominators means LCM of 67,57,333 as per the given fractions.

LCM of 67,57,333 is 423909 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,50,500

GCF of Fractions 38/67,50/57,500/333 is 2/423909

2 38, 50, 500
19, 25, 250

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,50,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,50,500 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 38,50,500 . The biggest common factor number is the GCF number.
So the greatest common factor 38,50,500 is 2.

Lets's calculate LCM of 67,57,333

3 67, 57, 333
67, 19, 111

∴ So the LCM of the given numbers is 3 x 67 x 19 x 111 = 423909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/423909

Therefore, the GCF of Fractions 38/67,50/57,500/333 is 2/423909

Least Common Multiple of 67,57,333 with GCF Formula

Least Common Multiple of 67,57,333 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 67,57,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,57,333) = 1

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

GCF(67,57,333) x common factors =1 x 3 = 3

LCM(67,57,333) = ( 67 × 57 × 333 ) / 3

LCM(67,57,333) = 1271727 / 3

LCM(67,57,333) = 423909


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 38/67, 50/57, 500/333

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 38/67, 50/57, 500/333?

Answer: GCF of Numerators as per given numbers 38/67, 50/57, 500/333 is

GCF of Numerators i.e. for 38,50,500 is 2

LCM of denominators i.e. for 67,57,333 is 423909.

Thus, GCF of Fractions is 2/423909.Finally, GCF of Fractions for 38/67, 50/57, 500/333 is 2/423909.