Greatest Common Factor of 6086/365, 1071/8823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6086/365, 1071/8823

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 6086/365,1071/8823

Given fractions are 6086/365,1071/8823

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 6086,1071

Greatest Common Factor of Numerators i.e. GCF of 6086,1071 is 17 .

LCM of Denominators means LCM of 365,8823 as per the given fractions.

LCM of 365,8823 is 3220395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6086,1071

GCF of Fractions 6086/365,1071/8823 is 17/3220395

17 6086, 1071
358, 63

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 6086,1071 By Matching Biggest Common Factor Method

Greatest Common Factor of 6086,1071 By Matching Biggest Common Factor Method

Factors of 6086

List of positive integer factors of 6086 that divides 6086 without a remainder.

1,2,17,34,179,358,3043,6086

Factors of 1071

List of positive integer factors of 1071 that divides 1071 without a remainder.

1,3,7,9,17,21,51,63,119,153,357,1071

Greatest Common Factor

We found the factors 6086,1071 . The biggest common factor number is the GCF number.
So the greatest common factor 6086,1071 is 17.

Lets's calculate LCM of 365,8823

Given numbers has no common factors except 1. So, there LCM is their product i.e 3220395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3220395

Therefore, the GCF of Fractions 6086/365,1071/8823 is 17/3220395

Least Common Multiple of 365,8823 with GCF Formula

Least Common Multiple of 365,8823 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 365,8823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,8823) = 1

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

GCF(365,8823) x common factors =1 x 1 = 1

LCM(365,8823) = ( 365 × 8823 ) / 1

LCM(365,8823) = 3220395 / 1

LCM(365,8823) = 3220395


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 6086/365, 1071/8823

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 6086/365, 1071/8823?

Answer: GCF of Numerators as per given numbers 6086/365, 1071/8823 is

GCF of Numerators i.e. for 6086,1071 is 17

LCM of denominators i.e. for 365,8823 is 3220395.

Thus, GCF of Fractions is 17/3220395.Finally, GCF of Fractions for 6086/365, 1071/8823 is 17/3220395.