GCD of 505, 736, 204, 960 Calculator

Given Input numbers are 505, 736, 204, 960

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

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (505, 736, 204, 960) = 1.

Given numbers are 505, 736, 204, 960

The list of prime factors of all numbers are

Prime factors of 505 are 5 x 101

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 505, 736, 204, 960

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

Apply this formula for all numbers.

Step1:

LCM(505, 736) = 371680

GCD(505, 736) = ( 505 x 736 ) / 371680

= 505 / 736

= 505

Step2:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 505, 736, 204, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 698, 404, 514
• GCD of 384, 732, 515, 871
• GCD of 656, 177, 455, 958
• GCD of 794, 270, 141, 291
• GCD of 669, 100, 923, 857

Given numbers are 505, 736, 204, 960
The greatest common divisor of numbers 505, 736, 204, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 505, 736, 204, 960 is 1.

1. What is the GCD of 505, 736, 204, 960?

GCD of given numbers 505, 736, 204, 960 is 1

2. How to calculate the greatest common divisor of 505, 736, 204, 960?

We can find the highest common divisor of 505, 736, 204, 960 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 505, 736, 204, 960 i.e 1.

3. How can I use the GCD of 505, 736, 204, 960Calculator?

Out the numbers 505, 736, 204, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.