How to Find GCF of 73/133, 150/422, 727/880?

GCF of 73/133, 150/422, 727/880

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 73/133, 150/422, 727/880 i.e 1/24695440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 73/133, 150/422, 727/880.

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 73/133,150/422,727/880?

Given fractions are 73/133,150/422,727/880

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 73/133,150/422,727/880, numerators are 73,150,727

Denominators are 133,422,880

The GCF of 73,150,727 is 1 .

LCM of 133,422,880 is 24695440.

The greatest common factor of 73/133,150/422,727/880 = [GCF of 73,150,727]/[LCM of 133,422,880]= 1/24695440

Therefore, the GCF of 73/133,150/422,727/880 is 1/24695440.

Greatest Common Factor of 73,150,727

To find the highest common factor of 73,150,727, we have to find the factors of both numbers and list the highest common factor.

The factors of 73 are 1, 73

The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

The factors of 727 are 1, 727

The HCF of 73,150,727 is 1.

Lets's calculate GCF of 73,150,727

Greatest Common Factor (GCF) of 73,150,727 By Common Division

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

Greatest Common Factor of 73,150,727 By Matching Biggest Common Factor Method

Now, list down the factors of 73

1,73

Now, list down the factors of 150

1,2,3,5,6,10,15,25,30,50,75,150

Now, list down the factors of 727

1,727

Greatest Common Factor

We found the factors 73,150,727 . The biggest common factor number is the GCF number.
So the greatest common factor 73,150,727 is 1.

Lets's calculate LCM of 133,422,880

Lowest Common Multiple of 133,422,880 using Common Division

2	133, 422, 880
	133, 211, 440

∴ So the LCM of the given numbers is 2 x 133 x 211 x 440 = 24695440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24695440

Therefore, the GCF of Fractions 73/133,150/422,727/880 is 1/24695440

Least Common Multiple of 133,422,880 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 133,422,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,422,880) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(133,422,880) x common factors =1 x 2 = 2

LCM(133,422,880) = ( 133 × 422 × 880 ) / 2

LCM(133,422,880) = 49390880 / 2

LCM(133,422,880) = 24695440

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FAQs on GCF of Fractions of 73/133, 150/422, 727/880

1. What is the HCF of 73,150,727?

The HCF of 73,150,727 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 73/133, 150/422, 727/880?

Answer: GCF of Numerators as per given numbers 73/133, 150/422, 727/880 is

GCF of Numerators i.e. for 73,150,727 is 1

LCM of denominators i.e. for 133,422,880 is 24695440.

Thus, GCF of Fractions is 1/24695440.Finally, GCF of Fractions for 73/133, 150/422, 727/880 is 1/24695440.