GCD of 504, 650, 16, 320 Calculator

Given Input numbers are 504, 650, 16, 320

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 16 :

The positive integer divisors of 16 that completely divides 16 are.

1, 2, 4, 8, 16

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (504, 650, 16, 320) = 2.

Given numbers are 504, 650, 16, 320

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 650 are 2 x 5 x 5 x 13

Prime factors of 16 are 2 x 2 x 2 x 2

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 504, 650, 16, 320 is 2.

Given numbers are 504, 650, 16, 320

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

Apply this formula for all numbers.

Step1:

LCM(504, 650) = 163800

GCD(504, 650) = ( 504 x 650 ) / 163800

= 504 / 650

= 504

Step2:

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

= 2 / 16

= 2

Step3:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2

So, Greatest Common Divisor of 504, 650, 16, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 284, 147, 41, 423
• GCD of 284, 371, 94, 187
• GCD of 428, 634, 33, 385
• GCD of 160, 833, 18, 952
• GCD of 563, 741, 91, 958

Given numbers are 504, 650, 16, 320
The greatest common divisor of numbers 504, 650, 16, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 650, 16, 320 is 2.

1. What is the GCD of 504, 650, 16, 320?

GCD of given numbers 504, 650, 16, 320 is 2

2. How to calculate the greatest common divisor of 504, 650, 16, 320?

We can find the highest common divisor of 504, 650, 16, 320 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, 650, 16, 320 i.e 2.

3. How can I use the GCD of 504, 650, 16, 320Calculator?

Out the numbers 504, 650, 16, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.