Greatest Common Factor of 901/8624, 867/9219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 901/8624, 867/9219

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 901/8624,867/9219

Given fractions are 901/8624,867/9219

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 901,867

Greatest Common Factor of Numerators i.e. GCF of 901,867 is 17 .

LCM of Denominators means LCM of 8624,9219 as per the given fractions.

LCM of 8624,9219 is 11357808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 901,867

GCF of Fractions 901/8624,867/9219 is 17/11357808

17 901, 867
53, 51

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 901,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,867 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 901,867 . The biggest common factor number is the GCF number.
So the greatest common factor 901,867 is 17.

Lets's calculate LCM of 8624,9219

7 8624, 9219
1232, 1317

∴ So the LCM of the given numbers is 7 x 1232 x 1317 = 11357808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/11357808

Therefore, the GCF of Fractions 901/8624,867/9219 is 17/11357808

Least Common Multiple of 8624,9219 with GCF Formula

Least Common Multiple of 8624,9219 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 8624,9219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8624,9219) = 7

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

GCF(8624,9219) x common factors =7 x 1 = 7

LCM(8624,9219) = ( 8624 × 9219 ) / 7

LCM(8624,9219) = 79504656 / 7

LCM(8624,9219) = 11357808


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 901/8624, 867/9219

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 901/8624, 867/9219?

Answer: GCF of Numerators as per given numbers 901/8624, 867/9219 is

GCF of Numerators i.e. for 901,867 is 17

LCM of denominators i.e. for 8624,9219 is 11357808.

Thus, GCF of Fractions is 17/11357808.Finally, GCF of Fractions for 901/8624, 867/9219 is 17/11357808.