How to Find GCF of 33/978, 821/591, 837/354?

GCF of 33/978, 821/591, 837/354

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 33/978, 821/591, 837/354 i.e 1/11367294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/978, 821/591, 837/354.

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 33/978,821/591,837/354?

Given fractions are 33/978,821/591,837/354

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 33/978,821/591,837/354, numerators are 33,821,837

Denominators are 978,591,354

The GCF of 33,821,837 is 1 .

LCM of 978,591,354 is 11367294.

The greatest common factor of 33/978,821/591,837/354 = [GCF of 33,821,837]/[LCM of 978,591,354]= 1/11367294

Therefore, the GCF of 33/978,821/591,837/354 is 1/11367294.

Greatest Common Factor of 33,821,837

To find the highest common factor of 33,821,837, 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 821 are 1, 821

The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837

The HCF of 33,821,837 is 1.

Lets's calculate GCF of 33,821,837

Greatest Common Factor (GCF) of 33,821,837 By Common Division

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

Greatest Common Factor of 33,821,837 By Matching Biggest Common Factor Method

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 821

1,821

Now, list down the factors of 837

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 33,821,837 . The biggest common factor number is the GCF number.
So the greatest common factor 33,821,837 is 1.

Lets's calculate LCM of 978,591,354

Lowest Common Multiple of 978,591,354 using Common Division

2	978, 591, 354
3	489, 591, 177
	163, 197, 59

∴ So the LCM of the given numbers is 2 x 3 x 163 x 197 x 59 = 11367294

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11367294

Therefore, the GCF of Fractions 33/978,821/591,837/354 is 1/11367294

Least Common Multiple of 978,591,354 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 978,591,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,591,354) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(978,591,354) x common factors =3 x 6 = 18

LCM(978,591,354) = ( 978 × 591 × 354 ) / 18

LCM(978,591,354) = 204611292 / 18

LCM(978,591,354) = 11367294

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 33/978, 821/591, 837/354

1. What is the HCF of 33,821,837?

The HCF of 33,821,837 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 33/978, 821/591, 837/354?

Answer: GCF of Numerators as per given numbers 33/978, 821/591, 837/354 is

GCF of Numerators i.e. for 33,821,837 is 1

LCM of denominators i.e. for 978,591,354 is 11367294.

Thus, GCF of Fractions is 1/11367294.Finally, GCF of Fractions for 33/978, 821/591, 837/354 is 1/11367294.