How to Find GCF of 4089/510, 7817/116?

GCF of 4089/510, 7817/116

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 4089/510, 7817/116 i.e 1/29580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4089/510, 7817/116.

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 4089/510,7817/116?

Given fractions are 4089/510,7817/116

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 4089/510,7817/116, numerators are 4089,7817

Denominators are 510,116

The GCF of 4089,7817 is 1 .

LCM of 510,116 is 29580.

The greatest common factor of 4089/510,7817/116 = [GCF of 4089,7817]/[LCM of 510,116]= 1/29580

Therefore, the GCF of 4089/510,7817/116 is 1/29580.

Greatest Common Factor of 4089,7817

To find the highest common factor of 4089,7817, we have to find the factors of both numbers and list the highest common factor.

The factors of 4089 are 1, 3, 29, 47, 87, 141, 1363, 4089

The factors of 7817 are 1, 7817

The HCF of 4089,7817 is 1.

Lets's calculate GCF of 4089,7817

Greatest Common Factor (GCF) of 4089,7817 By Common Division

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

Greatest Common Factor of 4089,7817 By Matching Biggest Common Factor Method

Now, list down the factors of 4089

1,3,29,47,87,141,1363,4089

Now, list down the factors of 7817

1,7817

Greatest Common Factor

We found the factors 4089,7817 . The biggest common factor number is the GCF number.
So the greatest common factor 4089,7817 is 1.

Lets's calculate LCM of 510,116

Lowest Common Multiple of 510,116 using Common Division

2	510, 116
	255, 58

∴ So the LCM of the given numbers is 2 x 255 x 58 = 29580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29580

Therefore, the GCF of Fractions 4089/510,7817/116 is 1/29580

Least Common Multiple of 510,116 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 510,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,116) = 2

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

GCF(510,116) x common factors =2 x 1 = 2

LCM(510,116) = ( 510 × 116 ) / 2

LCM(510,116) = 59160 / 2

LCM(510,116) = 29580

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FAQs on GCF of Fractions of 4089/510, 7817/116

1. What is the HCF of 4089,7817?

The HCF of 4089,7817 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 4089/510, 7817/116?

Answer: GCF of Numerators as per given numbers 4089/510, 7817/116 is

GCF of Numerators i.e. for 4089,7817 is 1

LCM of denominators i.e. for 510,116 is 29580.

Thus, GCF of Fractions is 1/29580.Finally, GCF of Fractions for 4089/510, 7817/116 is 1/29580.