GCD of 864, 718, 20, 690 Calculator

Given Input numbers are 864, 718, 20, 690

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (864, 718, 20, 690) = 2.

Given numbers are 864, 718, 20, 690

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 718 are 2 x 359

Prime factors of 20 are 2 x 2 x 5

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 864, 718, 20, 690 is 2.

Given numbers are 864, 718, 20, 690

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

Apply this formula for all numbers.

Step1:

LCM(864, 718) = 310176

GCD(864, 718) = ( 864 x 718 ) / 310176

= 864 / 718

= 864

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 864, 718, 20, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 349, 28, 485
• GCD of 125, 950, 88, 191
• GCD of 927, 912, 62, 174
• GCD of 148, 478, 83, 202
• GCD of 129, 116, 35, 741

Given numbers are 864, 718, 20, 690
The greatest common divisor of numbers 864, 718, 20, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 718, 20, 690 is 2.

1. What is the GCD of 864, 718, 20, 690?

GCD of given numbers 864, 718, 20, 690 is 2

2. How to calculate the greatest common divisor of 864, 718, 20, 690?

We can find the highest common divisor of 864, 718, 20, 690 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 864, 718, 20, 690 i.e 2.

3. How can I use the GCD of 864, 718, 20, 690Calculator?

Out the numbers 864, 718, 20, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.