How to Find GCF of 33/995, 71/666, 424/575?

GCF of 33/995, 71/666, 424/575

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 33/995, 71/666, 424/575 i.e 1/76207050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/995, 71/666, 424/575.

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 33/995,71/666,424/575?

Given fractions are 33/995,71/666,424/575

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 33/995,71/666,424/575, numerators are 33,71,424

Denominators are 995,666,575

The GCF of 33,71,424 is 1 .

LCM of 995,666,575 is 76207050.

The greatest common factor of 33/995,71/666,424/575 = [GCF of 33,71,424]/[LCM of 995,666,575]= 1/76207050

Therefore, the GCF of 33/995,71/666,424/575 is 1/76207050.

Greatest Common Factor of 33,71,424

To find the highest common factor of 33,71,424, 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 71 are 1, 71

The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424

The HCF of 33,71,424 is 1.

Lets's calculate GCF of 33,71,424

Greatest Common Factor (GCF) of 33,71,424 By Common Division

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

Greatest Common Factor of 33,71,424 By Matching Biggest Common Factor Method

Now, list down the factors of 33

1,3,11,33

Now, list down the factors of 71

1,71

Now, list down the factors of 424

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 33,71,424 . The biggest common factor number is the GCF number.
So the greatest common factor 33,71,424 is 1.

Lets's calculate LCM of 995,666,575

Lowest Common Multiple of 995,666,575 using Common Division

5	995, 666, 575
	199, 666, 115

∴ So the LCM of the given numbers is 5 x 199 x 666 x 115 = 76207050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76207050

Therefore, the GCF of Fractions 33/995,71/666,424/575 is 1/76207050

Least Common Multiple of 995,666,575 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 995,666,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,666,575) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(995,666,575) x common factors =1 x 5 = 5

LCM(995,666,575) = ( 995 × 666 × 575 ) / 5

LCM(995,666,575) = 381035250 / 5

LCM(995,666,575) = 76207050

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 33/995, 71/666, 424/575

1. What is the HCF of 33,71,424?

The HCF of 33,71,424 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 33/995, 71/666, 424/575?

Answer: GCF of Numerators as per given numbers 33/995, 71/666, 424/575 is

GCF of Numerators i.e. for 33,71,424 is 1

LCM of denominators i.e. for 995,666,575 is 76207050.

Thus, GCF of Fractions is 1/76207050.Finally, GCF of Fractions for 33/995, 71/666, 424/575 is 1/76207050.