Greatest Common Factor of 253/11, 859/16, 601/23

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 253/11, 859/16, 601/23

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 253/11,859/16,601/23

Given fractions are 253/11,859/16,601/23

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 253,859,601

Greatest Common Factor of Numerators i.e. GCF of 253,859,601 is 1 .

LCM of Denominators means LCM of 11,16,23 as per the given fractions.

LCM of 11,16,23 is 4048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 253,859,601

GCF of Fractions 253/11,859/16,601/23 is 1/4048

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

Greatest Common Factor of 253,859,601 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,859,601 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Greatest Common Factor

We found the factors 253,859,601 . The biggest common factor number is the GCF number.
So the greatest common factor 253,859,601 is 1.

Lets's calculate LCM of 11,16,23

Given numbers has no common factors except 1. So, there LCM is their product i.e 4048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4048

Therefore, the GCF of Fractions 253/11,859/16,601/23 is 1/4048

Least Common Multiple of 11,16,23 with GCF Formula

Least Common Multiple of 11,16,23 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 11,16,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,16,23) = 1

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

GCF(11,16,23) x common factors =1 x 1 = 1

LCM(11,16,23) = ( 11 × 16 × 23 ) / 1

LCM(11,16,23) = 4048 / 1

LCM(11,16,23) = 4048


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 253/11, 859/16, 601/23

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 253/11, 859/16, 601/23?

Answer: GCF of Numerators as per given numbers 253/11, 859/16, 601/23 is

GCF of Numerators i.e. for 253,859,601 is 1

LCM of denominators i.e. for 11,16,23 is 4048.

Thus, GCF of Fractions is 1/4048.Finally, GCF of Fractions for 253/11, 859/16, 601/23 is 1/4048.