How to Find GCF of 201/80, 429/2873?

GCF of 201/80, 429/2873

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 201/80, 429/2873 i.e 3/229840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 201/80, 429/2873.

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 201/80,429/2873?

Given fractions are 201/80,429/2873

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 201/80,429/2873, numerators are 201,429

Denominators are 80,2873

The GCF of 201,429 is 3 .

LCM of 80,2873 is 229840.

The greatest common factor of 201/80,429/2873 = [GCF of 201,429]/[LCM of 80,2873]= 3/229840

Therefore, the GCF of 201/80,429/2873 is 3/229840.

Greatest Common Factor of 201,429

To find the highest common factor of 201,429, we have to find the factors of both numbers and list the highest common factor.

The factors of 201 are 1, 3, 67, 201

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The HCF of 201,429 is 3.

Lets's calculate GCF of 201,429

Greatest Common Factor (GCF) of 201,429 By Common Division

3	201, 429
	67, 143

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 201,429 By Matching Biggest Common Factor Method

Now, list down the factors of 201

1,3,67,201

Now, list down the factors of 429

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 201,429 . The biggest common factor number is the GCF number.
So the greatest common factor 201,429 is 3.

Lets's calculate LCM of 80,2873

Lowest Common Multiple of 80,2873 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 229840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/229840

Therefore, the GCF of Fractions 201/80,429/2873 is 3/229840

Least Common Multiple of 80,2873 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 80,2873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,2873) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(80,2873) x common factors =1 x 1 = 1

LCM(80,2873) = ( 80 × 2873 ) / 1

LCM(80,2873) = 229840 / 1

LCM(80,2873) = 229840

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FAQs on GCF of Fractions of 201/80, 429/2873

1. What is the HCF of 201,429?

The HCF of 201,429 is 3

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 201/80, 429/2873?

Answer: GCF of Numerators as per given numbers 201/80, 429/2873 is

GCF of Numerators i.e. for 201,429 is 3

LCM of denominators i.e. for 80,2873 is 229840.

Thus, GCF of Fractions is 3/229840.Finally, GCF of Fractions for 201/80, 429/2873 is 3/229840.