Greatest Common Factor of 229/865, 420/768, 289/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 229/865, 420/768, 289/821

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 229/865,420/768,289/821

Given fractions are 229/865,420/768,289/821

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 229,420,289

Greatest Common Factor of Numerators i.e. GCF of 229,420,289 is 1 .

LCM of Denominators means LCM of 865,768,821 as per the given fractions.

LCM of 865,768,821 is 545406720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 229,420,289

GCF of Fractions 229/865,420/768,289/821 is 1/545406720

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

Greatest Common Factor of 229,420,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,420,289 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 229,420,289 . The biggest common factor number is the GCF number.
So the greatest common factor 229,420,289 is 1.

Lets's calculate LCM of 865,768,821

Given numbers has no common factors except 1. So, there LCM is their product i.e 545406720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/545406720

Therefore, the GCF of Fractions 229/865,420/768,289/821 is 1/545406720

Least Common Multiple of 865,768,821 with GCF Formula

Least Common Multiple of 865,768,821 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 865,768,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,768,821) = 1

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

GCF(865,768,821) x common factors =1 x 1 = 1

LCM(865,768,821) = ( 865 × 768 × 821 ) / 1

LCM(865,768,821) = 545406720 / 1

LCM(865,768,821) = 545406720


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 229/865, 420/768, 289/821

1. 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.

2. What is the GCF of Fractions for 229/865, 420/768, 289/821?

Answer: GCF of Numerators as per given numbers 229/865, 420/768, 289/821 is

GCF of Numerators i.e. for 229,420,289 is 1

LCM of denominators i.e. for 865,768,821 is 545406720.

Thus, GCF of Fractions is 1/545406720.Finally, GCF of Fractions for 229/865, 420/768, 289/821 is 1/545406720.