GCD of 532, 408, 369, 740 Calculator

Given Input numbers are 532, 408, 369, 740

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 532, 408, 369, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 408, 369, 740 is 1.

Therefore, GCD of numbers 532, 408, 369, 740 is 1

Given Input Data is 532, 408, 369, 740

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 740 is 2 x 2 x 5 x 37

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(532, 408) = 54264

GCD(532, 408) = ( 532 x 408 ) / 54264

GCD(532, 408) = 217056 / 54264

GCD(532, 408) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 369

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

LCM(4, 369) = 1476

GCD(4, 369) = ( 4 x 369 ) / 1476

GCD(4, 369) = 1476 / 1476

GCD(4, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 532, 408, 369, 740 is 1

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1. What is the GCD of 532, 408, 369, 740?

GCD of 532, 408, 369, 740 is 1

2. Where do I get the detailed procedure to find GCD of 532, 408, 369, 740?

You can find a detailed procedure to find GCD of 532, 408, 369, 740 on our page.

3. How to find GCD of 532, 408, 369, 740 on a calculator?

You can find the GCD of 532, 408, 369, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.