GCD of 528, 408, 201, 400 Calculator

Given Input numbers are 528, 408, 201, 400

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

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

GCD of numbers is the greatest common divisor

So, the GCD (528, 408, 201, 400) = 1.

Given numbers are 528, 408, 201, 400

The list of prime factors of all numbers are

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

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

Prime factors of 201 are 3 x 67

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

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

Given numbers are 528, 408, 201, 400

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

Apply this formula for all numbers.

Step1:

LCM(528, 408) = 8976

GCD(528, 408) = ( 528 x 408 ) / 8976

= 528 / 408

= 528

Step2:

LCM(24, 201) = 1608

GCD(24, 201) = ( 24 x 201 ) / 1608

= 24 / 201

= 24

Step3:

LCM(3, 400) = 1200

GCD(3, 400) = ( 3 x 400 ) / 1200

= 3 / 400

= 3

So, Greatest Common Divisor of 528, 408, 201, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 564, 186, 217
• GCD of 316, 476, 285, 442
• GCD of 449, 361, 749, 725
• GCD of 355, 467, 971, 560
• GCD of 362, 838, 538, 692

Given numbers are 528, 408, 201, 400
The greatest common divisor of numbers 528, 408, 201, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 408, 201, 400 is 1.

1. What is the GCD of 528, 408, 201, 400?

GCD of given numbers 528, 408, 201, 400 is 1

2. How to calculate the greatest common divisor of 528, 408, 201, 400?

We can find the highest common divisor of 528, 408, 201, 400 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 528, 408, 201, 400 i.e 1.

3. How can I use the GCD of 528, 408, 201, 400Calculator?

Out the numbers 528, 408, 201, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.