GCD of 664, 870, 820, 664 Calculator

Given Input numbers are 664, 870, 820, 664

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 664 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (664, 870, 820, 664) = 2.

Given numbers are 664, 870, 820, 664

The list of prime factors of all numbers are

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

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 820 are 2 x 2 x 5 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 664, 870, 820, 664 is 2.

Given numbers are 664, 870, 820, 664

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

Apply this formula for all numbers.

Step1:

LCM(664, 870) = 288840

GCD(664, 870) = ( 664 x 870 ) / 288840

= 664 / 870

= 664

Step2:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

Step3:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

So, Greatest Common Divisor of 664, 870, 820, 664 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 730, 669, 259
• GCD of 728, 442, 772, 937
• GCD of 229, 527, 639, 743
• GCD of 526, 327, 541, 671
• GCD of 650, 451, 683, 134

Given numbers are 664, 870, 820, 664
The greatest common divisor of numbers 664, 870, 820, 664 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 870, 820, 664 is 2.

1. What is the GCD of 664, 870, 820, 664?

GCD of given numbers 664, 870, 820, 664 is 2

2. How to calculate the greatest common divisor of 664, 870, 820, 664?

We can find the highest common divisor of 664, 870, 820, 664 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, 870, 820, 664 i.e 2.

3. How can I use the GCD of 664, 870, 820, 664Calculator?

Out the numbers 664, 870, 820, 664 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.