How to Find GCF of 8869/341, 5289/4634?

GCF of 8869/341, 5289/4634

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 8869/341, 5289/4634 i.e 1/1580194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8869/341, 5289/4634.

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 8869/341,5289/4634?

Given fractions are 8869/341,5289/4634

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 8869/341,5289/4634, numerators are 8869,5289

Denominators are 341,4634

The GCF of 8869,5289 is 1 .

LCM of 341,4634 is 1580194.

The greatest common factor of 8869/341,5289/4634 = [GCF of 8869,5289]/[LCM of 341,4634]= 1/1580194

Therefore, the GCF of 8869/341,5289/4634 is 1/1580194.

Greatest Common Factor of 8869,5289

To find the highest common factor of 8869,5289, we have to find the factors of both numbers and list the highest common factor.

The factors of 8869 are 1, 7, 49, 181, 1267, 8869

The factors of 5289 are 1, 3, 41, 43, 123, 129, 1763, 5289

The HCF of 8869,5289 is 1.

Lets's calculate GCF of 8869,5289

Greatest Common Factor (GCF) of 8869,5289 By Common Division

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

Greatest Common Factor of 8869,5289 By Matching Biggest Common Factor Method

Now, list down the factors of 8869

1,7,49,181,1267,8869

Now, list down the factors of 5289

1,3,41,43,123,129,1763,5289

Greatest Common Factor

We found the factors 8869,5289 . The biggest common factor number is the GCF number.
So the greatest common factor 8869,5289 is 1.

Lets's calculate LCM of 341,4634

Lowest Common Multiple of 341,4634 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1580194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1580194

Therefore, the GCF of Fractions 8869/341,5289/4634 is 1/1580194

Least Common Multiple of 341,4634 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 341,4634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,4634) = 1

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

GCF(341,4634) x common factors =1 x 1 = 1

LCM(341,4634) = ( 341 × 4634 ) / 1

LCM(341,4634) = 1580194 / 1

LCM(341,4634) = 1580194

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8869/341, 5289/4634

1. What is the HCF of 8869,5289?

The HCF of 8869,5289 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 8869/341, 5289/4634?

Answer: GCF of Numerators as per given numbers 8869/341, 5289/4634 is

GCF of Numerators i.e. for 8869,5289 is 1

LCM of denominators i.e. for 341,4634 is 1580194.

Thus, GCF of Fractions is 1/1580194.Finally, GCF of Fractions for 8869/341, 5289/4634 is 1/1580194.