Greatest Common Factor of 267/31, 606/29, 863/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 267/31, 606/29, 863/45

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 267/31,606/29,863/45

Given fractions are 267/31,606/29,863/45

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 267,606,863

Greatest Common Factor of Numerators i.e. GCF of 267,606,863 is 1 .

LCM of Denominators means LCM of 31,29,45 as per the given fractions.

LCM of 31,29,45 is 40455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 267,606,863

GCF of Fractions 267/31,606/29,863/45 is 1/40455

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

Greatest Common Factor of 267,606,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,606,863 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 267,606,863 . The biggest common factor number is the GCF number.
So the greatest common factor 267,606,863 is 1.

Lets's calculate LCM of 31,29,45

Given numbers has no common factors except 1. So, there LCM is their product i.e 40455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40455

Therefore, the GCF of Fractions 267/31,606/29,863/45 is 1/40455

Least Common Multiple of 31,29,45 with GCF Formula

Least Common Multiple of 31,29,45 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 31,29,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,29,45) = 1

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

GCF(31,29,45) x common factors =1 x 1 = 1

LCM(31,29,45) = ( 31 × 29 × 45 ) / 1

LCM(31,29,45) = 40455 / 1

LCM(31,29,45) = 40455


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 267/31, 606/29, 863/45

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 267/31, 606/29, 863/45?

Answer: GCF of Numerators as per given numbers 267/31, 606/29, 863/45 is

GCF of Numerators i.e. for 267,606,863 is 1

LCM of denominators i.e. for 31,29,45 is 40455.

Thus, GCF of Fractions is 1/40455.Finally, GCF of Fractions for 267/31, 606/29, 863/45 is 1/40455.