Greatest Common Factor of 8257/29, 4469/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8257/29, 4469/136

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 8257/29,4469/136

Given fractions are 8257/29,4469/136

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 8257,4469

Greatest Common Factor of Numerators i.e. GCF of 8257,4469 is 1 .

LCM of Denominators means LCM of 29,136 as per the given fractions.

LCM of 29,136 is 3944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8257,4469

GCF of Fractions 8257/29,4469/136 is 1/3944

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

Greatest Common Factor of 8257,4469 By Matching Biggest Common Factor Method

Greatest Common Factor of 8257,4469 By Matching Biggest Common Factor Method

Factors of 8257

List of positive integer factors of 8257 that divides 8257 without a remainder.

1,23,359,8257

Factors of 4469

List of positive integer factors of 4469 that divides 4469 without a remainder.

1,41,109,4469

Greatest Common Factor

We found the factors 8257,4469 . The biggest common factor number is the GCF number.
So the greatest common factor 8257,4469 is 1.

Lets's calculate LCM of 29,136

Given numbers has no common factors except 1. So, there LCM is their product i.e 3944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3944

Therefore, the GCF of Fractions 8257/29,4469/136 is 1/3944

Least Common Multiple of 29,136 with GCF Formula

Least Common Multiple of 29,136 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 29,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,136) = 1

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

GCF(29,136) x common factors =1 x 1 = 1

LCM(29,136) = ( 29 × 136 ) / 1

LCM(29,136) = 3944 / 1

LCM(29,136) = 3944


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 8257/29, 4469/136

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 8257/29, 4469/136?

Answer: GCF of Numerators as per given numbers 8257/29, 4469/136 is

GCF of Numerators i.e. for 8257,4469 is 1

LCM of denominators i.e. for 29,136 is 3944.

Thus, GCF of Fractions is 1/3944.Finally, GCF of Fractions for 8257/29, 4469/136 is 1/3944.