GCD of 366, 537, 944, 153 Calculator

Given Input numbers are 366, 537, 944, 153

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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 366, 537, 944, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 537, 944, 153 is 1.

Therefore, GCD of numbers 366, 537, 944, 153 is 1

Given Input Data is 366, 537, 944, 153

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 537 is 3 x 179

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(366, 537) = 65514

GCD(366, 537) = ( 366 x 537 ) / 65514

GCD(366, 537) = 196542 / 65514

GCD(366, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 944

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

LCM(3, 944) = 2832

GCD(3, 944) = ( 3 x 944 ) / 2832

GCD(3, 944) = 2832 / 2832

GCD(3, 944) = 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 366, 537, 944, 153 is 1

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1. What is the GCD of 366, 537, 944, 153?

GCD of 366, 537, 944, 153 is 1

2. Where do I get the detailed procedure to find GCD of 366, 537, 944, 153?

You can find a detailed procedure to find GCD of 366, 537, 944, 153 on our page.

3. How to find GCD of 366, 537, 944, 153 on a calculator?

You can find the GCD of 366, 537, 944, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.