GCD of 600, 441, 474, 984 Calculator

Given Input numbers are 600, 441, 474, 984

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 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (600, 441, 474, 984) = 3.

Given numbers are 600, 441, 474, 984

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 441 are 3 x 3 x 7 x 7

Prime factors of 474 are 2 x 3 x 79

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 600, 441, 474, 984 is 3.

Given numbers are 600, 441, 474, 984

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

Apply this formula for all numbers.

Step1:

LCM(600, 441) = 88200

GCD(600, 441) = ( 600 x 441 ) / 88200

= 600 / 441

= 600

Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

Step3:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

So, Greatest Common Divisor of 600, 441, 474, 984 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 810, 557, 726, 890
• GCD of 825, 102, 808, 819
• GCD of 847, 477, 771, 848
• GCD of 243, 847, 589, 629
• GCD of 488, 908, 747, 233

Given numbers are 600, 441, 474, 984
The greatest common divisor of numbers 600, 441, 474, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 441, 474, 984 is 3.

1. What is the GCD of 600, 441, 474, 984?

GCD of given numbers 600, 441, 474, 984 is 3

2. How to calculate the greatest common divisor of 600, 441, 474, 984?

We can find the highest common divisor of 600, 441, 474, 984 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, 441, 474, 984 i.e 3.

3. How can I use the GCD of 600, 441, 474, 984Calculator?

Out the numbers 600, 441, 474, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.