Greatest Common Factor of 281/21, 148/11, 655/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 281/21, 148/11, 655/913

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 281/21,148/11,655/913

Given fractions are 281/21,148/11,655/913

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 281,148,655

Greatest Common Factor of Numerators i.e. GCF of 281,148,655 is 1 .

LCM of Denominators means LCM of 21,11,913 as per the given fractions.

LCM of 21,11,913 is 19173 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 281,148,655

GCF of Fractions 281/21,148/11,655/913 is 1/19173

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

Greatest Common Factor of 281,148,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,148,655 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 281,148,655 . The biggest common factor number is the GCF number.
So the greatest common factor 281,148,655 is 1.

Lets's calculate LCM of 21,11,913

11 21, 11, 913
21, 1, 83

∴ So the LCM of the given numbers is 11 x 21 x 1 x 83 = 19173

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19173

Therefore, the GCF of Fractions 281/21,148/11,655/913 is 1/19173

Least Common Multiple of 21,11,913 with GCF Formula

Least Common Multiple of 21,11,913 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 21,11,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,11,913) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(21,11,913) x common factors =1 x 11 = 11

LCM(21,11,913) = ( 21 × 11 × 913 ) / 11

LCM(21,11,913) = 210903 / 11

LCM(21,11,913) = 19173


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 281/21, 148/11, 655/913

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 281/21, 148/11, 655/913?

Answer: GCF of Numerators as per given numbers 281/21, 148/11, 655/913 is

GCF of Numerators i.e. for 281,148,655 is 1

LCM of denominators i.e. for 21,11,913 is 19173.

Thus, GCF of Fractions is 1/19173.Finally, GCF of Fractions for 281/21, 148/11, 655/913 is 1/19173.