Greatest Common Factor of 1305/83, 8084/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1305/83, 8084/416

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 1305/83,8084/416

Given fractions are 1305/83,8084/416

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 1305,8084

Greatest Common Factor of Numerators i.e. GCF of 1305,8084 is 1 .

LCM of Denominators means LCM of 83,416 as per the given fractions.

LCM of 83,416 is 34528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1305,8084

GCF of Fractions 1305/83,8084/416 is 1/34528

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

Greatest Common Factor of 1305,8084 By Matching Biggest Common Factor Method

Greatest Common Factor of 1305,8084 By Matching Biggest Common Factor Method

Factors of 1305

List of positive integer factors of 1305 that divides 1305 without a remainder.

1,3,5,9,15,29,45,87,145,261,435,1305

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Greatest Common Factor

We found the factors 1305,8084 . The biggest common factor number is the GCF number.
So the greatest common factor 1305,8084 is 1.

Lets's calculate LCM of 83,416

Given numbers has no common factors except 1. So, there LCM is their product i.e 34528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34528

Therefore, the GCF of Fractions 1305/83,8084/416 is 1/34528

Least Common Multiple of 83,416 with GCF Formula

Least Common Multiple of 83,416 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 83,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,416) = 1

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

GCF(83,416) x common factors =1 x 1 = 1

LCM(83,416) = ( 83 × 416 ) / 1

LCM(83,416) = 34528 / 1

LCM(83,416) = 34528


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 1305/83, 8084/416

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 1305/83, 8084/416?

Answer: GCF of Numerators as per given numbers 1305/83, 8084/416 is

GCF of Numerators i.e. for 1305,8084 is 1

LCM of denominators i.e. for 83,416 is 34528.

Thus, GCF of Fractions is 1/34528.Finally, GCF of Fractions for 1305/83, 8084/416 is 1/34528.