Greatest Common Factor of 2231/640, 9493/2165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2231/640, 9493/2165

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 2231/640,9493/2165

Given fractions are 2231/640,9493/2165

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 2231,9493

Greatest Common Factor of Numerators i.e. GCF of 2231,9493 is 1 .

LCM of Denominators means LCM of 640,2165 as per the given fractions.

LCM of 640,2165 is 277120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2231,9493

GCF of Fractions 2231/640,9493/2165 is 1/277120

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

Greatest Common Factor of 2231,9493 By Matching Biggest Common Factor Method

Greatest Common Factor of 2231,9493 By Matching Biggest Common Factor Method

Factors of 2231

List of positive integer factors of 2231 that divides 2231 without a remainder.

1,23,97,2231

Factors of 9493

List of positive integer factors of 9493 that divides 9493 without a remainder.

1,11,863,9493

Greatest Common Factor

We found the factors 2231,9493 . The biggest common factor number is the GCF number.
So the greatest common factor 2231,9493 is 1.

Lets's calculate LCM of 640,2165

5 640, 2165
128, 433

∴ So the LCM of the given numbers is 5 x 128 x 433 = 277120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277120

Therefore, the GCF of Fractions 2231/640,9493/2165 is 1/277120

Least Common Multiple of 640,2165 with GCF Formula

Least Common Multiple of 640,2165 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 640,2165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,2165) = 5

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

GCF(640,2165) x common factors =5 x 1 = 5

LCM(640,2165) = ( 640 × 2165 ) / 5

LCM(640,2165) = 1385600 / 5

LCM(640,2165) = 277120


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 2231/640, 9493/2165

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 2231/640, 9493/2165?

Answer: GCF of Numerators as per given numbers 2231/640, 9493/2165 is

GCF of Numerators i.e. for 2231,9493 is 1

LCM of denominators i.e. for 640,2165 is 277120.

Thus, GCF of Fractions is 1/277120.Finally, GCF of Fractions for 2231/640, 9493/2165 is 1/277120.