How to Find GCF of 8666/429, 5269/865?

GCF of 8666/429, 5269/865

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 8666/429, 5269/865 i.e 1/371085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8666/429, 5269/865.

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 8666/429,5269/865?

Given fractions are 8666/429,5269/865

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 8666/429,5269/865, numerators are 8666,5269

Denominators are 429,865

The GCF of 8666,5269 is 1 .

LCM of 429,865 is 371085.

The greatest common factor of 8666/429,5269/865 = [GCF of 8666,5269]/[LCM of 429,865]= 1/371085

Therefore, the GCF of 8666/429,5269/865 is 1/371085.

Greatest Common Factor of 8666,5269

To find the highest common factor of 8666,5269, we have to find the factors of both numbers and list the highest common factor.

The factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666

The factors of 5269 are 1, 11, 479, 5269

The HCF of 8666,5269 is 1.

Lets's calculate GCF of 8666,5269

Greatest Common Factor (GCF) of 8666,5269 By Common Division

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

Greatest Common Factor of 8666,5269 By Matching Biggest Common Factor Method

Now, list down the factors of 8666

1,2,7,14,619,1238,4333,8666

Now, list down the factors of 5269

1,11,479,5269

Greatest Common Factor

We found the factors 8666,5269 . The biggest common factor number is the GCF number.
So the greatest common factor 8666,5269 is 1.

Lets's calculate LCM of 429,865

Lowest Common Multiple of 429,865 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 371085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371085

Therefore, the GCF of Fractions 8666/429,5269/865 is 1/371085

Least Common Multiple of 429,865 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 429,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(429,865) = 1

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

GCF(429,865) x common factors =1 x 1 = 1

LCM(429,865) = ( 429 × 865 ) / 1

LCM(429,865) = 371085 / 1

LCM(429,865) = 371085

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8666/429, 5269/865

1. What is the HCF of 8666,5269?

The HCF of 8666,5269 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 8666/429, 5269/865?

Answer: GCF of Numerators as per given numbers 8666/429, 5269/865 is

GCF of Numerators i.e. for 8666,5269 is 1

LCM of denominators i.e. for 429,865 is 371085.

Thus, GCF of Fractions is 1/371085.Finally, GCF of Fractions for 8666/429, 5269/865 is 1/371085.