Greatest Common Factor of 4299/83, 2681/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4299/83, 2681/465

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 4299/83,2681/465

Given fractions are 4299/83,2681/465

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 4299,2681

Greatest Common Factor of Numerators i.e. GCF of 4299,2681 is 1 .

LCM of Denominators means LCM of 83,465 as per the given fractions.

LCM of 83,465 is 38595 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4299,2681

GCF of Fractions 4299/83,2681/465 is 1/38595

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

Greatest Common Factor of 4299,2681 By Matching Biggest Common Factor Method

Greatest Common Factor of 4299,2681 By Matching Biggest Common Factor Method

Factors of 4299

List of positive integer factors of 4299 that divides 4299 without a remainder.

1,3,1433,4299

Factors of 2681

List of positive integer factors of 2681 that divides 2681 without a remainder.

1,7,383,2681

Greatest Common Factor

We found the factors 4299,2681 . The biggest common factor number is the GCF number.
So the greatest common factor 4299,2681 is 1.

Lets's calculate LCM of 83,465

Given numbers has no common factors except 1. So, there LCM is their product i.e 38595

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38595

Therefore, the GCF of Fractions 4299/83,2681/465 is 1/38595

Least Common Multiple of 83,465 with GCF Formula

Least Common Multiple of 83,465 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 83,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,465) = 1

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

GCF(83,465) x common factors =1 x 1 = 1

LCM(83,465) = ( 83 × 465 ) / 1

LCM(83,465) = 38595 / 1

LCM(83,465) = 38595


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 4299/83, 2681/465

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 4299/83, 2681/465?

Answer: GCF of Numerators as per given numbers 4299/83, 2681/465 is

GCF of Numerators i.e. for 4299,2681 is 1

LCM of denominators i.e. for 83,465 is 38595.

Thus, GCF of Fractions is 1/38595.Finally, GCF of Fractions for 4299/83, 2681/465 is 1/38595.