Greatest Common Factor of 1808/581, 3147/5761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1808/581, 3147/5761

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 1808/581,3147/5761

Given fractions are 1808/581,3147/5761

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 1808,3147

Greatest Common Factor of Numerators i.e. GCF of 1808,3147 is 1 .

LCM of Denominators means LCM of 581,5761 as per the given fractions.

LCM of 581,5761 is 478163 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1808,3147

GCF of Fractions 1808/581,3147/5761 is 1/478163

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

Greatest Common Factor of 1808,3147 By Matching Biggest Common Factor Method

Greatest Common Factor of 1808,3147 By Matching Biggest Common Factor Method

Factors of 1808

List of positive integer factors of 1808 that divides 1808 without a remainder.

1,2,4,8,16,113,226,452,904,1808

Factors of 3147

List of positive integer factors of 3147 that divides 3147 without a remainder.

1,3,1049,3147

Greatest Common Factor

We found the factors 1808,3147 . The biggest common factor number is the GCF number.
So the greatest common factor 1808,3147 is 1.

Lets's calculate LCM of 581,5761

7 581, 5761
83, 823

∴ So the LCM of the given numbers is 7 x 83 x 823 = 478163

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/478163

Therefore, the GCF of Fractions 1808/581,3147/5761 is 1/478163

Least Common Multiple of 581,5761 with GCF Formula

Least Common Multiple of 581,5761 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 581,5761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,5761) = 7

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

GCF(581,5761) x common factors =7 x 1 = 7

LCM(581,5761) = ( 581 × 5761 ) / 7

LCM(581,5761) = 3347141 / 7

LCM(581,5761) = 478163


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 1808/581, 3147/5761

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 1808/581, 3147/5761?

Answer: GCF of Numerators as per given numbers 1808/581, 3147/5761 is

GCF of Numerators i.e. for 1808,3147 is 1

LCM of denominators i.e. for 581,5761 is 478163.

Thus, GCF of Fractions is 1/478163.Finally, GCF of Fractions for 1808/581, 3147/5761 is 1/478163.