GCD of 664, 828, 180, 300 Calculator

Given Input numbers are 664, 828, 180, 300

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 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (664, 828, 180, 300) = 4.

Given numbers are 664, 828, 180, 300

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2²

Therefore, GCD of 664, 828, 180, 300 is 4.

Given numbers are 664, 828, 180, 300

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

Apply this formula for all numbers.

Step1:

LCM(664, 828) = 137448

GCD(664, 828) = ( 664 x 828 ) / 137448

= 664 / 828

= 664

Step2:

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

= 4 / 180

= 4

Step3:

LCM(4, 300) = 300

GCD(4, 300) = ( 4 x 300 ) / 300

= 4 / 300

= 4

So, Greatest Common Divisor of 664, 828, 180, 300 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 538, 368, 323
• GCD of 502, 951, 552, 223
• GCD of 773, 533, 743, 306
• GCD of 257, 439, 383, 579
• GCD of 902, 421, 937, 133

Given numbers are 664, 828, 180, 300
The greatest common divisor of numbers 664, 828, 180, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 828, 180, 300 is 4.

1. What is the GCD of 664, 828, 180, 300?

GCD of given numbers 664, 828, 180, 300 is 4

2. How to calculate the greatest common divisor of 664, 828, 180, 300?

We can find the highest common divisor of 664, 828, 180, 300 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, 828, 180, 300 i.e 4.

3. How can I use the GCD of 664, 828, 180, 300Calculator?

Out the numbers 664, 828, 180, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.