GCD of 664, 765, 825, 600 Calculator

Given Input numbers are 664, 765, 825, 600

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (664, 765, 825, 600) = 1.

Given numbers are 664, 765, 825, 600

The list of prime factors of all numbers are

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

Given numbers are 664, 765, 825, 600

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

Apply this formula for all numbers.

Step1:

LCM(664, 765) = 507960

GCD(664, 765) = ( 664 x 765 ) / 507960

= 664 / 765

= 664

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

So, Greatest Common Divisor of 664, 765, 825, 600 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 603, 441, 765
• GCD of 445, 469, 864, 446
• GCD of 140, 703, 670, 189
• GCD of 221, 492, 984, 563
• GCD of 443, 917, 396, 778

Given numbers are 664, 765, 825, 600
The greatest common divisor of numbers 664, 765, 825, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 765, 825, 600 is 1.

1. What is the GCD of 664, 765, 825, 600?

GCD of given numbers 664, 765, 825, 600 is 1

2. How to calculate the greatest common divisor of 664, 765, 825, 600?

We can find the highest common divisor of 664, 765, 825, 600 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 664, 765, 825, 600 i.e 1.

3. How can I use the GCD of 664, 765, 825, 600Calculator?

Out the numbers 664, 765, 825, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.