How to Find GCF of 17/259, 4039/8469?

GCF of 17/259, 4039/8469

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 17/259, 4039/8469 i.e 1/2193471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 17/259, 4039/8469.

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 17/259,4039/8469?

Given fractions are 17/259,4039/8469

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 17/259,4039/8469, numerators are 17,4039

Denominators are 259,8469

The GCF of 17,4039 is 1 .

LCM of 259,8469 is 2193471.

The greatest common factor of 17/259,4039/8469 = [GCF of 17,4039]/[LCM of 259,8469]= 1/2193471

Therefore, the GCF of 17/259,4039/8469 is 1/2193471.

Greatest Common Factor of 17,4039

To find the highest common factor of 17,4039, we have to find the factors of both numbers and list the highest common factor.

The factors of 17 are 1, 17

The factors of 4039 are 1, 7, 577, 4039

The HCF of 17,4039 is 1.

Lets's calculate GCF of 17,4039

Greatest Common Factor (GCF) of 17,4039 By Common Division

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

Greatest Common Factor of 17,4039 By Matching Biggest Common Factor Method

Now, list down the factors of 17

1,17

Now, list down the factors of 4039

1,7,577,4039

Greatest Common Factor

We found the factors 17,4039 . The biggest common factor number is the GCF number.
So the greatest common factor 17,4039 is 1.

Lets's calculate LCM of 259,8469

Lowest Common Multiple of 259,8469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2193471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2193471

Therefore, the GCF of Fractions 17/259,4039/8469 is 1/2193471

Least Common Multiple of 259,8469 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 259,8469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,8469) = 1

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

GCF(259,8469) x common factors =1 x 1 = 1

LCM(259,8469) = ( 259 × 8469 ) / 1

LCM(259,8469) = 2193471 / 1

LCM(259,8469) = 2193471

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 17/259, 4039/8469

1. What is the HCF of 17,4039?

The HCF of 17,4039 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 17/259, 4039/8469?

Answer: GCF of Numerators as per given numbers 17/259, 4039/8469 is

GCF of Numerators i.e. for 17,4039 is 1

LCM of denominators i.e. for 259,8469 is 2193471.

Thus, GCF of Fractions is 1/2193471.Finally, GCF of Fractions for 17/259, 4039/8469 is 1/2193471.