Greatest Common Factor of 4069/414, 9217/5864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4069/414, 9217/5864

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 4069/414,9217/5864

Given fractions are 4069/414,9217/5864

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 4069,9217

Greatest Common Factor of Numerators i.e. GCF of 4069,9217 is 13 .

LCM of Denominators means LCM of 414,5864 as per the given fractions.

LCM of 414,5864 is 1213848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4069,9217

GCF of Fractions 4069/414,9217/5864 is 13/1213848

13 4069, 9217
313, 709

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4069,9217 By Matching Biggest Common Factor Method

Greatest Common Factor of 4069,9217 By Matching Biggest Common Factor Method

Factors of 4069

List of positive integer factors of 4069 that divides 4069 without a remainder.

1,13,313,4069

Factors of 9217

List of positive integer factors of 9217 that divides 9217 without a remainder.

1,13,709,9217

Greatest Common Factor

We found the factors 4069,9217 . The biggest common factor number is the GCF number.
So the greatest common factor 4069,9217 is 13.

Lets's calculate LCM of 414,5864

2 414, 5864
207, 2932

∴ So the LCM of the given numbers is 2 x 207 x 2932 = 1213848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1213848

Therefore, the GCF of Fractions 4069/414,9217/5864 is 13/1213848

Least Common Multiple of 414,5864 with GCF Formula

Least Common Multiple of 414,5864 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 414,5864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,5864) = 2

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

GCF(414,5864) x common factors =2 x 1 = 2

LCM(414,5864) = ( 414 × 5864 ) / 2

LCM(414,5864) = 2427696 / 2

LCM(414,5864) = 1213848


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 4069/414, 9217/5864

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 4069/414, 9217/5864?

Answer: GCF of Numerators as per given numbers 4069/414, 9217/5864 is

GCF of Numerators i.e. for 4069,9217 is 13

LCM of denominators i.e. for 414,5864 is 1213848.

Thus, GCF of Fractions is 13/1213848.Finally, GCF of Fractions for 4069/414, 9217/5864 is 13/1213848.