Greatest Common Factor of 5765/882, 3289/4946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5765/882, 3289/4946

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 5765/882,3289/4946

Given fractions are 5765/882,3289/4946

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 5765,3289

Greatest Common Factor of Numerators i.e. GCF of 5765,3289 is 1 .

LCM of Denominators means LCM of 882,4946 as per the given fractions.

LCM of 882,4946 is 2181186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5765,3289

GCF of Fractions 5765/882,3289/4946 is 1/2181186

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

Greatest Common Factor of 5765,3289 By Matching Biggest Common Factor Method

Greatest Common Factor of 5765,3289 By Matching Biggest Common Factor Method

Factors of 5765

List of positive integer factors of 5765 that divides 5765 without a remainder.

1,5,1153,5765

Factors of 3289

List of positive integer factors of 3289 that divides 3289 without a remainder.

1,11,13,23,143,253,299,3289

Greatest Common Factor

We found the factors 5765,3289 . The biggest common factor number is the GCF number.
So the greatest common factor 5765,3289 is 1.

Lets's calculate LCM of 882,4946

2 882, 4946
441, 2473

∴ So the LCM of the given numbers is 2 x 441 x 2473 = 2181186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2181186

Therefore, the GCF of Fractions 5765/882,3289/4946 is 1/2181186

Least Common Multiple of 882,4946 with GCF Formula

Least Common Multiple of 882,4946 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 882,4946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,4946) = 2

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

GCF(882,4946) x common factors =2 x 1 = 2

LCM(882,4946) = ( 882 × 4946 ) / 2

LCM(882,4946) = 4362372 / 2

LCM(882,4946) = 2181186


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 5765/882, 3289/4946

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 5765/882, 3289/4946?

Answer: GCF of Numerators as per given numbers 5765/882, 3289/4946 is

GCF of Numerators i.e. for 5765,3289 is 1

LCM of denominators i.e. for 882,4946 is 2181186.

Thus, GCF of Fractions is 1/2181186.Finally, GCF of Fractions for 5765/882, 3289/4946 is 1/2181186.