Greatest Common Factor of 69/711, 287/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/711, 287/845

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 69/711,287/845

Given fractions are 69/711,287/845

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 69,287

Greatest Common Factor of Numerators i.e. GCF of 69,287 is 1 .

LCM of Denominators means LCM of 711,845 as per the given fractions.

LCM of 711,845 is 600795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,287

GCF of Fractions 69/711,287/845 is 1/600795

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

Greatest Common Factor of 69,287 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,287 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Greatest Common Factor

We found the factors 69,287 . The biggest common factor number is the GCF number.
So the greatest common factor 69,287 is 1.

Lets's calculate LCM of 711,845

Given numbers has no common factors except 1. So, there LCM is their product i.e 600795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600795

Therefore, the GCF of Fractions 69/711,287/845 is 1/600795

Least Common Multiple of 711,845 with GCF Formula

Least Common Multiple of 711,845 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 711,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,845) = 1

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

GCF(711,845) x common factors =1 x 1 = 1

LCM(711,845) = ( 711 × 845 ) / 1

LCM(711,845) = 600795 / 1

LCM(711,845) = 600795


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 69/711, 287/845

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 69/711, 287/845?

Answer: GCF of Numerators as per given numbers 69/711, 287/845 is

GCF of Numerators i.e. for 69,287 is 1

LCM of denominators i.e. for 711,845 is 600795.

Thus, GCF of Fractions is 1/600795.Finally, GCF of Fractions for 69/711, 287/845 is 1/600795.