GCD of 108, 530, 400 Calculator

Given Input numbers are 108, 530, 400

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

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 (108, 530, 400) = 2.

Given numbers are 108, 530, 400

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 530 are 2 x 5 x 53

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

The highest common occurrence is 2¹

Therefore, GCD of 108, 530, 400 is 2.

Given numbers are 108, 530, 400

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

Apply this formula for all numbers.

Step1:

LCM(108, 530) = 28620

GCD(108, 530) = ( 108 x 530 ) / 28620

= 108 / 530

= 108

Step2:

LCM(2, 400) = 400

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

= 2 / 400

= 2

So, Greatest Common Divisor of 108, 530, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 359, 939
• GCD of 402, 596, 709
• GCD of 607, 516, 107
• GCD of 693, 886, 932
• GCD of 406, 197, 558

Given numbers are 108, 530, 400
The greatest common divisor of numbers 108, 530, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 530, 400 is 2.

1. What is the GCD of 108, 530, 400?

GCD of given numbers 108, 530, 400 is 2

2. How to calculate the greatest common divisor of 108, 530, 400?

We can find the highest common divisor of 108, 530, 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 108, 530, 400 i.e 2.

3. How can I use the GCD of 108, 530, 400Calculator?

Out the numbers 108, 530, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.