GCD of 504, 164, 400 Calculator

Given Input numbers are 504, 164, 400

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

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 (504, 164, 400) = 4.

Given numbers are 504, 164, 400

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 164 are 2 x 2 x 41

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

The highest common occurrence is 2²

Therefore, GCD of 504, 164, 400 is 4.

Given numbers are 504, 164, 400

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

Apply this formula for all numbers.

Step1:

LCM(504, 164) = 20664

GCD(504, 164) = ( 504 x 164 ) / 20664

= 504 / 164

= 504

Step2:

LCM(4, 400) = 400

GCD(4, 400) = ( 4 x 400 ) / 400

= 4 / 400

= 4

So, Greatest Common Divisor of 504, 164, 400 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 343, 977, 906
• GCD of 460, 793, 951
• GCD of 827, 286, 726
• GCD of 240, 106, 874
• GCD of 822, 909, 263

Given numbers are 504, 164, 400
The greatest common divisor of numbers 504, 164, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 164, 400 is 4.

1. What is the GCD of 504, 164, 400?

GCD of given numbers 504, 164, 400 is 4

2. How to calculate the greatest common divisor of 504, 164, 400?

We can find the highest common divisor of 504, 164, 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 504, 164, 400 i.e 4.

3. How can I use the GCD of 504, 164, 400Calculator?

Out the numbers 504, 164, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.