How to Find GCF of 171/473, 5852/2721?

GCF of 171/473, 5852/2721

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 171/473, 5852/2721 i.e 19/1287033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 171/473, 5852/2721.

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 171/473,5852/2721?

Given fractions are 171/473,5852/2721

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 171/473,5852/2721, numerators are 171,5852

Denominators are 473,2721

The GCF of 171,5852 is 19 .

LCM of 473,2721 is 1287033.

The greatest common factor of 171/473,5852/2721 = [GCF of 171,5852]/[LCM of 473,2721]= 19/1287033

Therefore, the GCF of 171/473,5852/2721 is 19/1287033.

Greatest Common Factor of 171,5852

To find the highest common factor of 171,5852, we have to find the factors of both numbers and list the highest common factor.

The factors of 171 are 1, 3, 9, 19, 57, 171

The factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852

The HCF of 171,5852 is 19.

Lets's calculate GCF of 171,5852

Greatest Common Factor (GCF) of 171,5852 By Common Division

19	171, 5852
	9, 308

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 171,5852 By Matching Biggest Common Factor Method

Now, list down the factors of 171

1,3,9,19,57,171

Now, list down the factors of 5852

1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852

Greatest Common Factor

We found the factors 171,5852 . The biggest common factor number is the GCF number.
So the greatest common factor 171,5852 is 19.

Lets's calculate LCM of 473,2721

Lowest Common Multiple of 473,2721 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1287033

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1287033

Therefore, the GCF of Fractions 171/473,5852/2721 is 19/1287033

Least Common Multiple of 473,2721 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 473,2721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,2721) = 1

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

GCF(473,2721) x common factors =1 x 1 = 1

LCM(473,2721) = ( 473 × 2721 ) / 1

LCM(473,2721) = 1287033 / 1

LCM(473,2721) = 1287033

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FAQs on GCF of Fractions of 171/473, 5852/2721

1. What is the HCF of 171,5852?

The HCF of 171,5852 is 19

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 171/473, 5852/2721?

Answer: GCF of Numerators as per given numbers 171/473, 5852/2721 is

GCF of Numerators i.e. for 171,5852 is 19

LCM of denominators i.e. for 473,2721 is 1287033.

Thus, GCF of Fractions is 19/1287033.Finally, GCF of Fractions for 171/473, 5852/2721 is 19/1287033.