Greatest Common Factor of 5763/399, 1012/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5763/399, 1012/226

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 5763/399,1012/226

Given fractions are 5763/399,1012/226

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 5763,1012

Greatest Common Factor of Numerators i.e. GCF of 5763,1012 is 1 .

LCM of Denominators means LCM of 399,226 as per the given fractions.

LCM of 399,226 is 90174 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5763,1012

GCF of Fractions 5763/399,1012/226 is 1/90174

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

Greatest Common Factor of 5763,1012 By Matching Biggest Common Factor Method

Greatest Common Factor of 5763,1012 By Matching Biggest Common Factor Method

Factors of 5763

List of positive integer factors of 5763 that divides 5763 without a remainder.

1,3,17,51,113,339,1921,5763

Factors of 1012

List of positive integer factors of 1012 that divides 1012 without a remainder.

1,2,4,11,22,23,44,46,92,253,506,1012

Greatest Common Factor

We found the factors 5763,1012 . The biggest common factor number is the GCF number.
So the greatest common factor 5763,1012 is 1.

Lets's calculate LCM of 399,226

Given numbers has no common factors except 1. So, there LCM is their product i.e 90174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90174

Therefore, the GCF of Fractions 5763/399,1012/226 is 1/90174

Least Common Multiple of 399,226 with GCF Formula

Least Common Multiple of 399,226 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 399,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,226) = 1

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

GCF(399,226) x common factors =1 x 1 = 1

LCM(399,226) = ( 399 × 226 ) / 1

LCM(399,226) = 90174 / 1

LCM(399,226) = 90174


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 5763/399, 1012/226

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 5763/399, 1012/226?

Answer: GCF of Numerators as per given numbers 5763/399, 1012/226 is

GCF of Numerators i.e. for 5763,1012 is 1

LCM of denominators i.e. for 399,226 is 90174.

Thus, GCF of Fractions is 1/90174.Finally, GCF of Fractions for 5763/399, 1012/226 is 1/90174.