Greatest Common Factor of 4999/67, 4570/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4999/67, 4570/287

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 4999/67,4570/287

Given fractions are 4999/67,4570/287

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 4999,4570

Greatest Common Factor of Numerators i.e. GCF of 4999,4570 is 1 .

LCM of Denominators means LCM of 67,287 as per the given fractions.

LCM of 67,287 is 19229 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4999,4570

GCF of Fractions 4999/67,4570/287 is 1/19229

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

Greatest Common Factor of 4999,4570 By Matching Biggest Common Factor Method

Greatest Common Factor of 4999,4570 By Matching Biggest Common Factor Method

Factors of 4999

List of positive integer factors of 4999 that divides 4999 without a remainder.

1,4999

Factors of 4570

List of positive integer factors of 4570 that divides 4570 without a remainder.

1,2,5,10,457,914,2285,4570

Greatest Common Factor

We found the factors 4999,4570 . The biggest common factor number is the GCF number.
So the greatest common factor 4999,4570 is 1.

Lets's calculate LCM of 67,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 19229

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19229

Therefore, the GCF of Fractions 4999/67,4570/287 is 1/19229

Least Common Multiple of 67,287 with GCF Formula

Least Common Multiple of 67,287 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 67,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,287) = 1

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

GCF(67,287) x common factors =1 x 1 = 1

LCM(67,287) = ( 67 × 287 ) / 1

LCM(67,287) = 19229 / 1

LCM(67,287) = 19229


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 4999/67, 4570/287

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 4999/67, 4570/287?

Answer: GCF of Numerators as per given numbers 4999/67, 4570/287 is

GCF of Numerators i.e. for 4999,4570 is 1

LCM of denominators i.e. for 67,287 is 19229.

Thus, GCF of Fractions is 1/19229.Finally, GCF of Fractions for 4999/67, 4570/287 is 1/19229.