Greatest Common Factor of 9072/221, 8904/2092

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9072/221, 8904/2092

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 9072/221,8904/2092

Given fractions are 9072/221,8904/2092

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 9072,8904

Greatest Common Factor of Numerators i.e. GCF of 9072,8904 is 168 .

LCM of Denominators means LCM of 221,2092 as per the given fractions.

LCM of 221,2092 is 462332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9072,8904

GCF of Fractions 9072/221,8904/2092 is 168/462332

2 9072, 8904
2 4536, 4452
2 2268, 2226
3 1134, 1113
7 378, 371
54, 53

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 7 = 168

Greatest Common Factor of 9072,8904 By Matching Biggest Common Factor Method

Greatest Common Factor of 9072,8904 By Matching Biggest Common Factor Method

Factors of 9072

List of positive integer factors of 9072 that divides 9072 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072

Factors of 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,53,56,84,106,159,168,212,318,371,424,636,742,1113,1272,1484,2226,2968,4452,8904

Greatest Common Factor

We found the factors 9072,8904 . The biggest common factor number is the GCF number.
So the greatest common factor 9072,8904 is 168.

Lets's calculate LCM of 221,2092

Given numbers has no common factors except 1. So, there LCM is their product i.e 462332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 168/462332

Therefore, the GCF of Fractions 9072/221,8904/2092 is 168/462332

Least Common Multiple of 221,2092 with GCF Formula

Least Common Multiple of 221,2092 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 221,2092 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,2092) = 1

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

GCF(221,2092) x common factors =1 x 1 = 1

LCM(221,2092) = ( 221 × 2092 ) / 1

LCM(221,2092) = 462332 / 1

LCM(221,2092) = 462332


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 9072/221, 8904/2092

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 9072/221, 8904/2092?

Answer: GCF of Numerators as per given numbers 9072/221, 8904/2092 is

GCF of Numerators i.e. for 9072,8904 is 168

LCM of denominators i.e. for 221,2092 is 462332.

Thus, GCF of Fractions is 168/462332.Finally, GCF of Fractions for 9072/221, 8904/2092 is 168/462332.