Greatest Common Factor of 8299/40, 8217/633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8299/40, 8217/633

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 8299/40,8217/633

Given fractions are 8299/40,8217/633

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 8299,8217

Greatest Common Factor of Numerators i.e. GCF of 8299,8217 is 1 .

LCM of Denominators means LCM of 40,633 as per the given fractions.

LCM of 40,633 is 25320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8299,8217

GCF of Fractions 8299/40,8217/633 is 1/25320

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

Greatest Common Factor of 8299,8217 By Matching Biggest Common Factor Method

Greatest Common Factor of 8299,8217 By Matching Biggest Common Factor Method

Factors of 8299

List of positive integer factors of 8299 that divides 8299 without a remainder.

1,43,193,8299

Factors of 8217

List of positive integer factors of 8217 that divides 8217 without a remainder.

1,3,9,11,33,83,99,249,747,913,2739,8217

Greatest Common Factor

We found the factors 8299,8217 . The biggest common factor number is the GCF number.
So the greatest common factor 8299,8217 is 1.

Lets's calculate LCM of 40,633

Given numbers has no common factors except 1. So, there LCM is their product i.e 25320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25320

Therefore, the GCF of Fractions 8299/40,8217/633 is 1/25320

Least Common Multiple of 40,633 with GCF Formula

Least Common Multiple of 40,633 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 40,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,633) = 1

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

GCF(40,633) x common factors =1 x 1 = 1

LCM(40,633) = ( 40 × 633 ) / 1

LCM(40,633) = 25320 / 1

LCM(40,633) = 25320


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 8299/40, 8217/633

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 8299/40, 8217/633?

Answer: GCF of Numerators as per given numbers 8299/40, 8217/633 is

GCF of Numerators i.e. for 8299,8217 is 1

LCM of denominators i.e. for 40,633 is 25320.

Thus, GCF of Fractions is 1/25320.Finally, GCF of Fractions for 8299/40, 8217/633 is 1/25320.