GCD of 320, 645, 600, 868 Calculator

Given Input numbers are 320, 645, 600, 868

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

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

GCD of numbers is the greatest common divisor

So, the GCD (320, 645, 600, 868) = 1.

Given numbers are 320, 645, 600, 868

The list of prime factors of all numbers are

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

Prime factors of 645 are 3 x 5 x 43

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

Prime factors of 868 are 2 x 2 x 7 x 31

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

Given numbers are 320, 645, 600, 868

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

Apply this formula for all numbers.

Step1:

LCM(320, 645) = 41280

GCD(320, 645) = ( 320 x 645 ) / 41280

= 320 / 645

= 320

Step2:

LCM(5, 600) = 600

GCD(5, 600) = ( 5 x 600 ) / 600

= 5 / 600

= 5

Step3:

LCM(5, 868) = 4340

GCD(5, 868) = ( 5 x 868 ) / 4340

= 5 / 868

= 5

So, Greatest Common Divisor of 320, 645, 600, 868 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 496, 835, 715
• GCD of 510, 924, 642, 150
• GCD of 517, 160, 904, 750
• GCD of 991, 782, 839, 846
• GCD of 200, 996, 914, 577

Given numbers are 320, 645, 600, 868
The greatest common divisor of numbers 320, 645, 600, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 645, 600, 868 is 1.

1. What is the GCD of 320, 645, 600, 868?

GCD of given numbers 320, 645, 600, 868 is 1

2. How to calculate the greatest common divisor of 320, 645, 600, 868?

We can find the highest common divisor of 320, 645, 600, 868 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 320, 645, 600, 868 i.e 1.

3. How can I use the GCD of 320, 645, 600, 868Calculator?

Out the numbers 320, 645, 600, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.