Greatest Common Factor of 824/15, 711/9169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 824/15, 711/9169

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 824/15,711/9169

Given fractions are 824/15,711/9169

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 824,711

Greatest Common Factor of Numerators i.e. GCF of 824,711 is 1 .

LCM of Denominators means LCM of 15,9169 as per the given fractions.

LCM of 15,9169 is 137535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,711

GCF of Fractions 824/15,711/9169 is 1/137535

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

Greatest Common Factor of 824,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,711 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 824,711 . The biggest common factor number is the GCF number.
So the greatest common factor 824,711 is 1.


Lets's calculate LCM of 15,9169

Given numbers has no common factors except 1. So, there LCM is their product i.e 137535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137535

Therefore, the GCF of Fractions 824/15,711/9169 is 1/137535

Least Common Multiple of 15,9169 with GCF Formula

Least Common Multiple of 15,9169 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 15,9169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,9169) = 1

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

GCF(15,9169) x common factors =1 x 1 = 1

LCM(15,9169) = ( 15 × 9169 ) / 1

LCM(15,9169) = 137535 / 1

LCM(15,9169) = 137535


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 824/15, 711/9169

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 824/15, 711/9169?

Answer: GCF of Numerators as per given numbers 824/15, 711/9169 is

GCF of Numerators i.e. for 824,711 is 1

LCM of denominators i.e. for 15,9169 is 137535.

Thus, GCF of Fractions is 1/137535.Finally, GCF of Fractions for 824/15, 711/9169 is 1/137535.