GCD of 600, 801, 216, 660 Calculator

Given Input numbers are 600, 801, 216, 660

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

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 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (600, 801, 216, 660) = 3.

Given numbers are 600, 801, 216, 660

The list of prime factors of all numbers are

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

Prime factors of 801 are 3 x 3 x 89

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 600, 801, 216, 660 is 3.

Given numbers are 600, 801, 216, 660

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

Apply this formula for all numbers.

Step1:

LCM(600, 801) = 160200

GCD(600, 801) = ( 600 x 801 ) / 160200

= 600 / 801

= 600

Step2:

LCM(3, 216) = 216

GCD(3, 216) = ( 3 x 216 ) / 216

= 3 / 216

= 3

Step3:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3

So, Greatest Common Divisor of 600, 801, 216, 660 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 466, 792, 767, 874
• GCD of 462, 545, 580, 948
• GCD of 296, 192, 499, 146
• GCD of 922, 912, 336, 247
• GCD of 914, 214, 742, 986

Given numbers are 600, 801, 216, 660
The greatest common divisor of numbers 600, 801, 216, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 801, 216, 660 is 3.

1. What is the GCD of 600, 801, 216, 660?

GCD of given numbers 600, 801, 216, 660 is 3

2. How to calculate the greatest common divisor of 600, 801, 216, 660?

We can find the highest common divisor of 600, 801, 216, 660 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 600, 801, 216, 660 i.e 3.

3. How can I use the GCD of 600, 801, 216, 660Calculator?

Out the numbers 600, 801, 216, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.