GCD of 538, 332, 400, 409 Calculator

Given Input numbers are 538, 332, 400, 409

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

GCD of numbers is the greatest common divisor

So, the GCD (538, 332, 400, 409) = 1.

Given numbers are 538, 332, 400, 409

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 332 are 2 x 2 x 83

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 409 are 409

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

Given numbers are 538, 332, 400, 409

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

Apply this formula for all numbers.

Step1:

LCM(538, 332) = 89308

GCD(538, 332) = ( 538 x 332 ) / 89308

= 538 / 332

= 538

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

So, Greatest Common Divisor of 538, 332, 400, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 882, 197, 212
• GCD of 186, 586, 150, 740
• GCD of 742, 995, 156, 206
• GCD of 723, 498, 932, 140
• GCD of 284, 759, 751, 500

Given numbers are 538, 332, 400, 409
The greatest common divisor of numbers 538, 332, 400, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 332, 400, 409 is 1.

1. What is the GCD of 538, 332, 400, 409?

GCD of given numbers 538, 332, 400, 409 is 1

2. How to calculate the greatest common divisor of 538, 332, 400, 409?

We can find the highest common divisor of 538, 332, 400, 409 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 538, 332, 400, 409 i.e 1.

3. How can I use the GCD of 538, 332, 400, 409Calculator?

Out the numbers 538, 332, 400, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.