How to Find GCF of 502/60, 567/11, 201/13?

GCF of 502/60, 567/11, 201/13

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 502/60, 567/11, 201/13 i.e 1/8580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/60, 567/11, 201/13.

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 502/60,567/11,201/13?

Given fractions are 502/60,567/11,201/13

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 502/60,567/11,201/13, numerators are 502,567,201

Denominators are 60,11,13

The GCF of 502,567,201 is 1 .

LCM of 60,11,13 is 8580.

The greatest common factor of 502/60,567/11,201/13 = [GCF of 502,567,201]/[LCM of 60,11,13]= 1/8580

Therefore, the GCF of 502/60,567/11,201/13 is 1/8580.

Greatest Common Factor of 502,567,201

To find the highest common factor of 502,567,201, we have to find the factors of both numbers and list the highest common factor.

The factors of 502 are 1, 2, 251, 502

The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

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

The HCF of 502,567,201 is 1.

Lets's calculate GCF of 502,567,201

Greatest Common Factor (GCF) of 502,567,201 By Common Division

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

Greatest Common Factor of 502,567,201 By Matching Biggest Common Factor Method

Now, list down the factors of 502

1,2,251,502

Now, list down the factors of 567

1,3,7,9,21,27,63,81,189,567

Now, list down the factors of 201

1,3,67,201

Greatest Common Factor

We found the factors 502,567,201 . The biggest common factor number is the GCF number.
So the greatest common factor 502,567,201 is 1.

Lets's calculate LCM of 60,11,13

Lowest Common Multiple of 60,11,13 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8580

Therefore, the GCF of Fractions 502/60,567/11,201/13 is 1/8580

Least Common Multiple of 60,11,13 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 60,11,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,11,13) = 1

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

GCF(60,11,13) x common factors =1 x 1 = 1

LCM(60,11,13) = ( 60 × 11 × 13 ) / 1

LCM(60,11,13) = 8580 / 1

LCM(60,11,13) = 8580

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FAQs on GCF of Fractions of 502/60, 567/11, 201/13

1. What is the HCF of 502,567,201?

The HCF of 502,567,201 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 502/60, 567/11, 201/13?

Answer: GCF of Numerators as per given numbers 502/60, 567/11, 201/13 is

GCF of Numerators i.e. for 502,567,201 is 1

LCM of denominators i.e. for 60,11,13 is 8580.

Thus, GCF of Fractions is 1/8580.Finally, GCF of Fractions for 502/60, 567/11, 201/13 is 1/8580.