GCD of 548, 408, 657, 369 Calculator

Given Input numbers are 548, 408, 657, 369

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 369

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

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 548, 408, 657, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 408, 657, 369 is 1.

Therefore, GCD of numbers 548, 408, 657, 369 is 1

Given Input Data is 548, 408, 657, 369

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

Prime Factorization of 548 is 2 x 2 x 137

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 369 is 3 x 3 x 41

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(548, 408) = 55896

GCD(548, 408) = ( 548 x 408 ) / 55896

GCD(548, 408) = 223584 / 55896

GCD(548, 408) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 657

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

LCM(4, 657) = 2628

GCD(4, 657) = ( 4 x 657 ) / 2628

GCD(4, 657) = 2628 / 2628

GCD(4, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 548, 408, 657, 369 is 1

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1. What is the GCD of 548, 408, 657, 369?

GCD of 548, 408, 657, 369 is 1

2. Where do I get the detailed procedure to find GCD of 548, 408, 657, 369?

You can find a detailed procedure to find GCD of 548, 408, 657, 369 on our page.

3. How to find GCD of 548, 408, 657, 369 on a calculator?

You can find the GCD of 548, 408, 657, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.