GCD of 266, 724, 15, 153 Calculator

Given Input numbers are 266, 724, 15, 153

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 266, 724, 15, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 724, 15, 153 is 1.

Therefore, GCD of numbers 266, 724, 15, 153 is 1

Given Input Data is 266, 724, 15, 153

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 15 is 3 x 5

Prime Factorization of 153 is 3 x 3 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(266, 724) = 96292

GCD(266, 724) = ( 266 x 724 ) / 96292

GCD(266, 724) = 192584 / 96292

GCD(266, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 266, 724, 15, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 415, 24, 197
• GCD of 270, 180, 21, 437
• GCD of 537, 291, 93, 913
• GCD of 621, 609, 33, 308
• GCD of 779, 428, 59, 295

1. What is the GCD of 266, 724, 15, 153?

GCD of 266, 724, 15, 153 is 1

2. Where do I get the detailed procedure to find GCD of 266, 724, 15, 153?

You can find a detailed procedure to find GCD of 266, 724, 15, 153 on our page.

3. How to find GCD of 266, 724, 15, 153 on a calculator?

You can find the GCD of 266, 724, 15, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.