How to Find GCF of 8381/510, 3093/5064?

GCF of 8381/510, 3093/5064

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 8381/510, 3093/5064 i.e 1/430440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8381/510, 3093/5064.

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 8381/510,3093/5064?

Given fractions are 8381/510,3093/5064

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 8381/510,3093/5064, numerators are 8381,3093

Denominators are 510,5064

The GCF of 8381,3093 is 1 .

LCM of 510,5064 is 430440.

The greatest common factor of 8381/510,3093/5064 = [GCF of 8381,3093]/[LCM of 510,5064]= 1/430440

Therefore, the GCF of 8381/510,3093/5064 is 1/430440.

Greatest Common Factor of 8381,3093

To find the highest common factor of 8381,3093, we have to find the factors of both numbers and list the highest common factor.

The factors of 8381 are 1, 17, 29, 289, 493, 8381

The factors of 3093 are 1, 3, 1031, 3093

The HCF of 8381,3093 is 1.

Lets's calculate GCF of 8381,3093

Greatest Common Factor (GCF) of 8381,3093 By Common Division

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

Greatest Common Factor of 8381,3093 By Matching Biggest Common Factor Method

Now, list down the factors of 8381

1,17,29,289,493,8381

Now, list down the factors of 3093

1,3,1031,3093

Greatest Common Factor

We found the factors 8381,3093 . The biggest common factor number is the GCF number.
So the greatest common factor 8381,3093 is 1.

Lets's calculate LCM of 510,5064

Lowest Common Multiple of 510,5064 using Common Division

2	510, 5064
3	255, 2532
	85, 844

∴ So the LCM of the given numbers is 2 x 3 x 85 x 844 = 430440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430440

Therefore, the GCF of Fractions 8381/510,3093/5064 is 1/430440

Least Common Multiple of 510,5064 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 510,5064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,5064) = 6

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

GCF(510,5064) x common factors =6 x 1 = 6

LCM(510,5064) = ( 510 × 5064 ) / 6

LCM(510,5064) = 2582640 / 6

LCM(510,5064) = 430440

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8381/510, 3093/5064

1. What is the HCF of 8381,3093?

The HCF of 8381,3093 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 8381/510, 3093/5064?

Answer: GCF of Numerators as per given numbers 8381/510, 3093/5064 is

GCF of Numerators i.e. for 8381,3093 is 1

LCM of denominators i.e. for 510,5064 is 430440.

Thus, GCF of Fractions is 1/430440.Finally, GCF of Fractions for 8381/510, 3093/5064 is 1/430440.