GCD of 504, 369, 398, 450 Calculator

Given Input numbers are 504, 369, 398, 450

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (504, 369, 398, 450) = 1.

Given numbers are 504, 369, 398, 450

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 369 are 3 x 3 x 41

Prime factors of 398 are 2 x 199

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

Given numbers are 504, 369, 398, 450

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

Apply this formula for all numbers.

Step1:

LCM(504, 369) = 20664

GCD(504, 369) = ( 504 x 369 ) / 20664

= 504 / 369

= 504

Step2:

LCM(9, 398) = 3582

GCD(9, 398) = ( 9 x 398 ) / 3582

= 9 / 398

= 9

Step3:

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

= 1 / 450

= 1

So, Greatest Common Divisor of 504, 369, 398, 450 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 718, 796, 533
• GCD of 149, 139, 984, 825
• GCD of 888, 238, 348, 808
• GCD of 573, 993, 751, 424
• GCD of 830, 674, 596, 632

Given numbers are 504, 369, 398, 450
The greatest common divisor of numbers 504, 369, 398, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 369, 398, 450 is 1.

1. What is the GCD of 504, 369, 398, 450?

GCD of given numbers 504, 369, 398, 450 is 1

2. How to calculate the greatest common divisor of 504, 369, 398, 450?

We can find the highest common divisor of 504, 369, 398, 450 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, 369, 398, 450 i.e 1.

3. How can I use the GCD of 504, 369, 398, 450Calculator?

Out the numbers 504, 369, 398, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.