How to Find GCF of 33/77, 618/14, 671/243?

GCF of 33/77, 618/14, 671/243

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 33/77, 618/14, 671/243 i.e 1/37422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/77, 618/14, 671/243.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 33/77,618/14,671/243?

Given fractions are 33/77,618/14,671/243

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 33/77,618/14,671/243, numerators are 33,618,671

Denominators are 77,14,243

The GCF of 33,618,671 is 1 .

LCM of 77,14,243 is 37422.

The greatest common factor of 33/77,618/14,671/243 = [GCF of 33,618,671]/[LCM of 77,14,243]= 1/37422

Therefore, the GCF of 33/77,618/14,671/243 is 1/37422.

Greatest Common Factor of 33,618,671

To find the highest common factor of 33,618,671, we have to find the factors of both numbers and list the highest common factor.

The factors of 33 are 1, 3, 11, 33

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The factors of 671 are 1, 11, 61, 671

The HCF of 33,618,671 is 1.

Lets's calculate GCF of 33,618,671

Greatest Common Factor (GCF) of 33,618,671 By Common Division

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

Greatest Common Factor of 33,618,671 By Matching Biggest Common Factor Method

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 618

1,2,3,6,103,206,309,618

Now, list down the factors of 671

1,11,61,671

Greatest Common Factor

We found the factors 33,618,671 . The biggest common factor number is the GCF number.
So the greatest common factor 33,618,671 is 1.

Lets's calculate LCM of 77,14,243

Lowest Common Multiple of 77,14,243 using Common Division

7	77, 14, 243
	11, 2, 243

∴ So the LCM of the given numbers is 7 x 11 x 2 x 243 = 37422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37422

Therefore, the GCF of Fractions 33/77,618/14,671/243 is 1/37422

Least Common Multiple of 77,14,243 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 77,14,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,14,243) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,14,243) x common factors =1 x 7 = 7

LCM(77,14,243) = ( 77 × 14 × 243 ) / 7

LCM(77,14,243) = 261954 / 7

LCM(77,14,243) = 37422

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 33/77, 618/14, 671/243

1. What is the HCF of 33,618,671?

The HCF of 33,618,671 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 33/77, 618/14, 671/243?

Answer: GCF of Numerators as per given numbers 33/77, 618/14, 671/243 is

GCF of Numerators i.e. for 33,618,671 is 1

LCM of denominators i.e. for 77,14,243 is 37422.

Thus, GCF of Fractions is 1/37422.Finally, GCF of Fractions for 33/77, 618/14, 671/243 is 1/37422.