How to Find GCF of 87/510, 20/313, 283/508?

GCF of 87/510, 20/313, 283/508

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 87/510, 20/313, 283/508 i.e 1/40546020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/510, 20/313, 283/508.

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 87/510,20/313,283/508?

Given fractions are 87/510,20/313,283/508

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 87/510,20/313,283/508, numerators are 87,20,283

Denominators are 510,313,508

The GCF of 87,20,283 is 1 .

LCM of 510,313,508 is 40546020.

The greatest common factor of 87/510,20/313,283/508 = [GCF of 87,20,283]/[LCM of 510,313,508]= 1/40546020

Therefore, the GCF of 87/510,20/313,283/508 is 1/40546020.

Greatest Common Factor of 87,20,283

To find the highest common factor of 87,20,283, we have to find the factors of both numbers and list the highest common factor.

The factors of 87 are 1, 3, 29, 87

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 283 are 1, 283

The HCF of 87,20,283 is 1.

Lets's calculate GCF of 87,20,283

Greatest Common Factor (GCF) of 87,20,283 By Common Division

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

Greatest Common Factor of 87,20,283 By Matching Biggest Common Factor Method

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 283

1,283

Greatest Common Factor

We found the factors 87,20,283 . The biggest common factor number is the GCF number.
So the greatest common factor 87,20,283 is 1.

Lets's calculate LCM of 510,313,508

Lowest Common Multiple of 510,313,508 using Common Division

2	510, 313, 508
	255, 313, 254

∴ So the LCM of the given numbers is 2 x 255 x 313 x 254 = 40546020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40546020

Therefore, the GCF of Fractions 87/510,20/313,283/508 is 1/40546020

Least Common Multiple of 510,313,508 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 510,313,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,313,508) = 1

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

GCF(510,313,508) x common factors =1 x 2 = 2

LCM(510,313,508) = ( 510 × 313 × 508 ) / 2

LCM(510,313,508) = 81092040 / 2

LCM(510,313,508) = 40546020

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 87/510, 20/313, 283/508

1. What is the HCF of 87,20,283?

The HCF of 87,20,283 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 87/510, 20/313, 283/508?

Answer: GCF of Numerators as per given numbers 87/510, 20/313, 283/508 is

GCF of Numerators i.e. for 87,20,283 is 1

LCM of denominators i.e. for 510,313,508 is 40546020.

Thus, GCF of Fractions is 1/40546020.Finally, GCF of Fractions for 87/510, 20/313, 283/508 is 1/40546020.