GCD of 489, 987, 240, 600 Calculator

Given Input numbers are 489, 987, 240, 600

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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

GCD of numbers is the greatest common divisor

So, the GCD (489, 987, 240, 600) = 3.

Given numbers are 489, 987, 240, 600

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 987 are 3 x 7 x 47

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 489, 987, 240, 600 is 3.

Given numbers are 489, 987, 240, 600

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

Apply this formula for all numbers.

Step1:

LCM(489, 987) = 160881

GCD(489, 987) = ( 489 x 987 ) / 160881

= 489 / 987

= 489

Step2:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

Step3:

LCM(3, 600) = 600

GCD(3, 600) = ( 3 x 600 ) / 600

= 3 / 600

= 3

So, Greatest Common Divisor of 489, 987, 240, 600 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 579, 341, 295, 902
• GCD of 925, 170, 399, 171
• GCD of 452, 406, 518, 902
• GCD of 313, 486, 241, 601
• GCD of 721, 957, 938, 865

Given numbers are 489, 987, 240, 600
The greatest common divisor of numbers 489, 987, 240, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 987, 240, 600 is 3.

1. What is the GCD of 489, 987, 240, 600?

GCD of given numbers 489, 987, 240, 600 is 3

2. How to calculate the greatest common divisor of 489, 987, 240, 600?

We can find the highest common divisor of 489, 987, 240, 600 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 489, 987, 240, 600 i.e 3.

3. How can I use the GCD of 489, 987, 240, 600Calculator?

Out the numbers 489, 987, 240, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.