Greatest Common Factor of 4334/582, 4955/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4334/582, 4955/845

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 4334/582,4955/845

Given fractions are 4334/582,4955/845

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 4334,4955

Greatest Common Factor of Numerators i.e. GCF of 4334,4955 is 1 .

LCM of Denominators means LCM of 582,845 as per the given fractions.

LCM of 582,845 is 491790 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4334,4955

GCF of Fractions 4334/582,4955/845 is 1/491790

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

Greatest Common Factor of 4334,4955 By Matching Biggest Common Factor Method

Greatest Common Factor of 4334,4955 By Matching Biggest Common Factor Method

Factors of 4334

List of positive integer factors of 4334 that divides 4334 without a remainder.

1,2,11,22,197,394,2167,4334

Factors of 4955

List of positive integer factors of 4955 that divides 4955 without a remainder.

1,5,991,4955

Greatest Common Factor

We found the factors 4334,4955 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,4955 is 1.

Lets's calculate LCM of 582,845

Given numbers has no common factors except 1. So, there LCM is their product i.e 491790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491790

Therefore, the GCF of Fractions 4334/582,4955/845 is 1/491790

Least Common Multiple of 582,845 with GCF Formula

Least Common Multiple of 582,845 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 582,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(582,845) = 1

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

GCF(582,845) x common factors =1 x 1 = 1

LCM(582,845) = ( 582 × 845 ) / 1

LCM(582,845) = 491790 / 1

LCM(582,845) = 491790


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 4334/582, 4955/845

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 4334/582, 4955/845?

Answer: GCF of Numerators as per given numbers 4334/582, 4955/845 is

GCF of Numerators i.e. for 4334,4955 is 1

LCM of denominators i.e. for 582,845 is 491790.

Thus, GCF of Fractions is 1/491790.Finally, GCF of Fractions for 4334/582, 4955/845 is 1/491790.