Greatest Common Factor of 1133/280, 2145/9026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1133/280, 2145/9026

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 1133/280,2145/9026

Given fractions are 1133/280,2145/9026

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 1133,2145

Greatest Common Factor of Numerators i.e. GCF of 1133,2145 is 11 .

LCM of Denominators means LCM of 280,9026 as per the given fractions.

LCM of 280,9026 is 1263640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1133,2145

GCF of Fractions 1133/280,2145/9026 is 11/1263640

11 1133, 2145
103, 195

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 1133,2145 By Matching Biggest Common Factor Method

Greatest Common Factor of 1133,2145 By Matching Biggest Common Factor Method

Factors of 1133

List of positive integer factors of 1133 that divides 1133 without a remainder.

1,11,103,1133

Factors of 2145

List of positive integer factors of 2145 that divides 2145 without a remainder.

1,3,5,11,13,15,33,39,55,65,143,165,195,429,715,2145

Greatest Common Factor

We found the factors 1133,2145 . The biggest common factor number is the GCF number.
So the greatest common factor 1133,2145 is 11.

Lets's calculate LCM of 280,9026

2 280, 9026
140, 4513

∴ So the LCM of the given numbers is 2 x 140 x 4513 = 1263640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1263640

Therefore, the GCF of Fractions 1133/280,2145/9026 is 11/1263640

Least Common Multiple of 280,9026 with GCF Formula

Least Common Multiple of 280,9026 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 280,9026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,9026) = 2

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

GCF(280,9026) x common factors =2 x 1 = 2

LCM(280,9026) = ( 280 × 9026 ) / 2

LCM(280,9026) = 2527280 / 2

LCM(280,9026) = 1263640


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 1133/280, 2145/9026

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 1133/280, 2145/9026?

Answer: GCF of Numerators as per given numbers 1133/280, 2145/9026 is

GCF of Numerators i.e. for 1133,2145 is 11

LCM of denominators i.e. for 280,9026 is 1263640.

Thus, GCF of Fractions is 11/1263640.Finally, GCF of Fractions for 1133/280, 2145/9026 is 11/1263640.