GCD of 408, 360, 728, 541 Calculator

Given Input numbers are 408, 360, 728, 541

In the factoring method, we have to find the divisors of all numbers

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 541 :

The positive integer divisors of 541 that completely divides 541 are.

1, 541

GCD of numbers is the greatest common divisor

So, the GCD (408, 360, 728, 541) = 1.

Given numbers are 408, 360, 728, 541

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 541 are 541

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

Given numbers are 408, 360, 728, 541

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(408, 360) = 6120

GCD(408, 360) = ( 408 x 360 ) / 6120

= 408 / 360

= 408

Step2:

LCM(24, 728) = 2184

GCD(24, 728) = ( 24 x 728 ) / 2184

= 24 / 728

= 24

Step3:

LCM(8, 541) = 4328

GCD(8, 541) = ( 8 x 541 ) / 4328

= 8 / 541

= 8

So, Greatest Common Divisor of 408, 360, 728, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 787, 585, 499
• GCD of 145, 596, 678, 934
• GCD of 366, 766, 229, 731
• GCD of 985, 571, 956, 720
• GCD of 319, 260, 105, 954

Given numbers are 408, 360, 728, 541
The greatest common divisor of numbers 408, 360, 728, 541 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 360, 728, 541 is 1.

1. What is the GCD of 408, 360, 728, 541?

GCD of given numbers 408, 360, 728, 541 is 1

2. How to calculate the greatest common divisor of 408, 360, 728, 541?

We can find the highest common divisor of 408, 360, 728, 541 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 408, 360, 728, 541 i.e 1.

3. How can I use the GCD of 408, 360, 728, 541Calculator?

Out the numbers 408, 360, 728, 541 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.