Greatest Common Factor of 67/333, 813/608, 391/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/333, 813/608, 391/252

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 67/333,813/608,391/252

Given fractions are 67/333,813/608,391/252

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 67,813,391

Greatest Common Factor of Numerators i.e. GCF of 67,813,391 is 1 .

LCM of Denominators means LCM of 333,608,252 as per the given fractions.

LCM of 333,608,252 is 1417248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,813,391

GCF of Fractions 67/333,813/608,391/252 is 1/1417248

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

Greatest Common Factor of 67,813,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,813,391 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 67,813,391 . The biggest common factor number is the GCF number.
So the greatest common factor 67,813,391 is 1.

Lets's calculate LCM of 333,608,252

2 333, 608, 252
2 333, 304, 126
3 333, 152, 63
3 111, 152, 21
37, 152, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 37 x 152 x 7 = 1417248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1417248

Therefore, the GCF of Fractions 67/333,813/608,391/252 is 1/1417248

Least Common Multiple of 333,608,252 with GCF Formula

Least Common Multiple of 333,608,252 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 333,608,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,608,252) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(333,608,252) x common factors =1 x 36 = 36

LCM(333,608,252) = ( 333 × 608 × 252 ) / 36

LCM(333,608,252) = 51020928 / 36

LCM(333,608,252) = 1417248


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 67/333, 813/608, 391/252

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 67/333, 813/608, 391/252?

Answer: GCF of Numerators as per given numbers 67/333, 813/608, 391/252 is

GCF of Numerators i.e. for 67,813,391 is 1

LCM of denominators i.e. for 333,608,252 is 1417248.

Thus, GCF of Fractions is 1/1417248.Finally, GCF of Fractions for 67/333, 813/608, 391/252 is 1/1417248.