How to Find GCF of 8609/959, 5863/7488?

GCF of 8609/959, 5863/7488

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 8609/959, 5863/7488 i.e 1/7180992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8609/959, 5863/7488.

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 8609/959,5863/7488?

Given fractions are 8609/959,5863/7488

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 8609/959,5863/7488, numerators are 8609,5863

Denominators are 959,7488

The GCF of 8609,5863 is 1 .

LCM of 959,7488 is 7180992.

The greatest common factor of 8609/959,5863/7488 = [GCF of 8609,5863]/[LCM of 959,7488]= 1/7180992

Therefore, the GCF of 8609/959,5863/7488 is 1/7180992.

Greatest Common Factor of 8609,5863

To find the highest common factor of 8609,5863, we have to find the factors of both numbers and list the highest common factor.

The factors of 8609 are 1, 8609

The factors of 5863 are 1, 11, 13, 41, 143, 451, 533, 5863

The HCF of 8609,5863 is 1.

Lets's calculate GCF of 8609,5863

Greatest Common Factor (GCF) of 8609,5863 By Common Division

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

Greatest Common Factor of 8609,5863 By Matching Biggest Common Factor Method

Now, list down the factors of 8609

1,8609

Now, list down the factors of 5863

1,11,13,41,143,451,533,5863

Greatest Common Factor

We found the factors 8609,5863 . The biggest common factor number is the GCF number.
So the greatest common factor 8609,5863 is 1.

Lets's calculate LCM of 959,7488

Lowest Common Multiple of 959,7488 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7180992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7180992

Therefore, the GCF of Fractions 8609/959,5863/7488 is 1/7180992

Least Common Multiple of 959,7488 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 959,7488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,7488) = 1

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

GCF(959,7488) x common factors =1 x 1 = 1

LCM(959,7488) = ( 959 × 7488 ) / 1

LCM(959,7488) = 7180992 / 1

LCM(959,7488) = 7180992

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8609/959, 5863/7488

1. What is the HCF of 8609,5863?

The HCF of 8609,5863 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 8609/959, 5863/7488?

Answer: GCF of Numerators as per given numbers 8609/959, 5863/7488 is

GCF of Numerators i.e. for 8609,5863 is 1

LCM of denominators i.e. for 959,7488 is 7180992.

Thus, GCF of Fractions is 1/7180992.Finally, GCF of Fractions for 8609/959, 5863/7488 is 1/7180992.