GCD of 200, 585, 748, 960 Calculator

Given Input numbers are 200, 585, 748, 960

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 (200, 585, 748, 960) = 1.

Given numbers are 200, 585, 748, 960

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 748 are 2 x 2 x 11 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 200, 585, 748, 960

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

Apply this formula for all numbers.

Step1:

LCM(200, 585) = 23400

GCD(200, 585) = ( 200 x 585 ) / 23400

= 200 / 585

= 200

Step2:

LCM(5, 748) = 3740

GCD(5, 748) = ( 5 x 748 ) / 3740

= 5 / 748

= 5

Step3:

LCM(1, 960) = 960

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

= 1 / 960

= 1

So, Greatest Common Divisor of 200, 585, 748, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 315, 340, 247, 202
• GCD of 216, 562, 711, 524
• GCD of 874, 300, 658, 464
• GCD of 465, 563, 325, 339
• GCD of 507, 563, 378, 292

Given numbers are 200, 585, 748, 960
The greatest common divisor of numbers 200, 585, 748, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 585, 748, 960 is 1.

1. What is the GCD of 200, 585, 748, 960?

GCD of given numbers 200, 585, 748, 960 is 1

2. How to calculate the greatest common divisor of 200, 585, 748, 960?

We can find the highest common divisor of 200, 585, 748, 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 200, 585, 748, 960 i.e 1.

3. How can I use the GCD of 200, 585, 748, 960Calculator?

Out the numbers 200, 585, 748, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.