GCD of 600, 446, 604, 220 Calculator

Given Input numbers are 600, 446, 604, 220

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 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (600, 446, 604, 220) = 2.

Given numbers are 600, 446, 604, 220

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 446 are 2 x 223

Prime factors of 604 are 2 x 2 x 151

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 600, 446, 604, 220 is 2.

Given numbers are 600, 446, 604, 220

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

Apply this formula for all numbers.

Step1:

LCM(600, 446) = 133800

GCD(600, 446) = ( 600 x 446 ) / 133800

= 600 / 446

= 600

Step2:

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

= 2 / 604

= 2

Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

So, Greatest Common Divisor of 600, 446, 604, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 307, 469, 248
• GCD of 107, 966, 609, 421
• GCD of 284, 144, 402, 776
• GCD of 457, 189, 884, 455
• GCD of 495, 521, 593, 205

Given numbers are 600, 446, 604, 220
The greatest common divisor of numbers 600, 446, 604, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 446, 604, 220 is 2.

1. What is the GCD of 600, 446, 604, 220?

GCD of given numbers 600, 446, 604, 220 is 2

2. How to calculate the greatest common divisor of 600, 446, 604, 220?

We can find the highest common divisor of 600, 446, 604, 220 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, 446, 604, 220 i.e 2.

3. How can I use the GCD of 600, 446, 604, 220Calculator?

Out the numbers 600, 446, 604, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.