Greatest Common Factor of 459/59, 136/4568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 459/59, 136/4568

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 459/59,136/4568

Given fractions are 459/59,136/4568

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 459,136

Greatest Common Factor of Numerators i.e. GCF of 459,136 is 17 .

LCM of Denominators means LCM of 59,4568 as per the given fractions.

LCM of 59,4568 is 269512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 459,136

GCF of Fractions 459/59,136/4568 is 17/269512

17 459, 136
27, 8

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 459,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,136 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 459,136 . The biggest common factor number is the GCF number.
So the greatest common factor 459,136 is 17.

Lets's calculate LCM of 59,4568

Given numbers has no common factors except 1. So, there LCM is their product i.e 269512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/269512

Therefore, the GCF of Fractions 459/59,136/4568 is 17/269512

Least Common Multiple of 59,4568 with GCF Formula

Least Common Multiple of 59,4568 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 59,4568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,4568) = 1

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

GCF(59,4568) x common factors =1 x 1 = 1

LCM(59,4568) = ( 59 × 4568 ) / 1

LCM(59,4568) = 269512 / 1

LCM(59,4568) = 269512


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 459/59, 136/4568

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 459/59, 136/4568?

Answer: GCF of Numerators as per given numbers 459/59, 136/4568 is

GCF of Numerators i.e. for 459,136 is 17

LCM of denominators i.e. for 59,4568 is 269512.

Thus, GCF of Fractions is 17/269512.Finally, GCF of Fractions for 459/59, 136/4568 is 17/269512.