Greatest Common Factor of 4801/517, 6255/5000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4801/517, 6255/5000

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 4801/517,6255/5000

Given fractions are 4801/517,6255/5000

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 4801,6255

Greatest Common Factor of Numerators i.e. GCF of 4801,6255 is 1 .

LCM of Denominators means LCM of 517,5000 as per the given fractions.

LCM of 517,5000 is 2585000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4801,6255

GCF of Fractions 4801/517,6255/5000 is 1/2585000

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

Greatest Common Factor of 4801,6255 By Matching Biggest Common Factor Method

Greatest Common Factor of 4801,6255 By Matching Biggest Common Factor Method

Factors of 4801

List of positive integer factors of 4801 that divides 4801 without a remainder.

1,4801

Factors of 6255

List of positive integer factors of 6255 that divides 6255 without a remainder.

1,3,5,9,15,45,139,417,695,1251,2085,6255

Greatest Common Factor

We found the factors 4801,6255 . The biggest common factor number is the GCF number.
So the greatest common factor 4801,6255 is 1.

Lets's calculate LCM of 517,5000

Given numbers has no common factors except 1. So, there LCM is their product i.e 2585000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2585000

Therefore, the GCF of Fractions 4801/517,6255/5000 is 1/2585000

Least Common Multiple of 517,5000 with GCF Formula

Least Common Multiple of 517,5000 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 517,5000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,5000) = 1

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

GCF(517,5000) x common factors =1 x 1 = 1

LCM(517,5000) = ( 517 × 5000 ) / 1

LCM(517,5000) = 2585000 / 1

LCM(517,5000) = 2585000


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 4801/517, 6255/5000

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 4801/517, 6255/5000?

Answer: GCF of Numerators as per given numbers 4801/517, 6255/5000 is

GCF of Numerators i.e. for 4801,6255 is 1

LCM of denominators i.e. for 517,5000 is 2585000.

Thus, GCF of Fractions is 1/2585000.Finally, GCF of Fractions for 4801/517, 6255/5000 is 1/2585000.