Greatest Common Factor of 2417/999, 5709/7465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2417/999, 5709/7465

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 2417/999,5709/7465

Given fractions are 2417/999,5709/7465

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 2417,5709

Greatest Common Factor of Numerators i.e. GCF of 2417,5709 is 1 .

LCM of Denominators means LCM of 999,7465 as per the given fractions.

LCM of 999,7465 is 7457535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2417,5709

GCF of Fractions 2417/999,5709/7465 is 1/7457535

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

Greatest Common Factor of 2417,5709 By Matching Biggest Common Factor Method

Greatest Common Factor of 2417,5709 By Matching Biggest Common Factor Method

Factors of 2417

List of positive integer factors of 2417 that divides 2417 without a remainder.

1,2417

Factors of 5709

List of positive integer factors of 5709 that divides 5709 without a remainder.

1,3,11,33,173,519,1903,5709

Greatest Common Factor

We found the factors 2417,5709 . The biggest common factor number is the GCF number.
So the greatest common factor 2417,5709 is 1.

Lets's calculate LCM of 999,7465

Given numbers has no common factors except 1. So, there LCM is their product i.e 7457535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7457535

Therefore, the GCF of Fractions 2417/999,5709/7465 is 1/7457535

Least Common Multiple of 999,7465 with GCF Formula

Least Common Multiple of 999,7465 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 999,7465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,7465) = 1

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

GCF(999,7465) x common factors =1 x 1 = 1

LCM(999,7465) = ( 999 × 7465 ) / 1

LCM(999,7465) = 7457535 / 1

LCM(999,7465) = 7457535


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 2417/999, 5709/7465

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 2417/999, 5709/7465?

Answer: GCF of Numerators as per given numbers 2417/999, 5709/7465 is

GCF of Numerators i.e. for 2417,5709 is 1

LCM of denominators i.e. for 999,7465 is 7457535.

Thus, GCF of Fractions is 1/7457535.Finally, GCF of Fractions for 2417/999, 5709/7465 is 1/7457535.