GCD of 45, 732, 361, 523 Calculator

Given Input numbers are 45, 732, 361, 523

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 45, 732, 361, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 732, 361, 523 is 1.

Therefore, GCD of numbers 45, 732, 361, 523 is 1

Given Input Data is 45, 732, 361, 523

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 361 is 19 x 19

Prime Factorization of 523 is 523

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(45, 732) = 10980

GCD(45, 732) = ( 45 x 732 ) / 10980

GCD(45, 732) = 32940 / 10980

GCD(45, 732) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 361

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

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

GCD(3, 361) = 1083 / 1083

GCD(3, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 45, 732, 361, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 842, 607, 241
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• GCD of 36, 276, 952, 661
• GCD of 32, 528, 946, 163
• GCD of 22, 817, 279, 311

1. What is the GCD of 45, 732, 361, 523?

GCD of 45, 732, 361, 523 is 1

2. Where do I get the detailed procedure to find GCD of 45, 732, 361, 523?

You can find a detailed procedure to find GCD of 45, 732, 361, 523 on our page.

3. How to find GCD of 45, 732, 361, 523 on a calculator?

You can find the GCD of 45, 732, 361, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.