Greatest Common Factor of 5742/591, 1631/505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5742/591, 1631/505

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 5742/591,1631/505

Given fractions are 5742/591,1631/505

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 5742,1631

Greatest Common Factor of Numerators i.e. GCF of 5742,1631 is 1 .

LCM of Denominators means LCM of 591,505 as per the given fractions.

LCM of 591,505 is 298455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5742,1631

GCF of Fractions 5742/591,1631/505 is 1/298455

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

Greatest Common Factor of 5742,1631 By Matching Biggest Common Factor Method

Greatest Common Factor of 5742,1631 By Matching Biggest Common Factor Method

Factors of 5742

List of positive integer factors of 5742 that divides 5742 without a remainder.

1,2,3,6,9,11,18,22,29,33,58,66,87,99,174,198,261,319,522,638,957,1914,2871,5742

Factors of 1631

List of positive integer factors of 1631 that divides 1631 without a remainder.

1,7,233,1631

Greatest Common Factor

We found the factors 5742,1631 . The biggest common factor number is the GCF number.
So the greatest common factor 5742,1631 is 1.

Lets's calculate LCM of 591,505

Given numbers has no common factors except 1. So, there LCM is their product i.e 298455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/298455

Therefore, the GCF of Fractions 5742/591,1631/505 is 1/298455

Least Common Multiple of 591,505 with GCF Formula

Least Common Multiple of 591,505 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 591,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(591,505) = 1

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

GCF(591,505) x common factors =1 x 1 = 1

LCM(591,505) = ( 591 × 505 ) / 1

LCM(591,505) = 298455 / 1

LCM(591,505) = 298455


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 5742/591, 1631/505

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 5742/591, 1631/505?

Answer: GCF of Numerators as per given numbers 5742/591, 1631/505 is

GCF of Numerators i.e. for 5742,1631 is 1

LCM of denominators i.e. for 591,505 is 298455.

Thus, GCF of Fractions is 1/298455.Finally, GCF of Fractions for 5742/591, 1631/505 is 1/298455.