GCD of 600, 123, 900, 460 Calculator

Given Input numbers are 600, 123, 900, 460

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (600, 123, 900, 460) = 1.

Given numbers are 600, 123, 900, 460

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 123 are 3 x 41

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 460 are 2 x 2 x 5 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 600, 123, 900, 460

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

Apply this formula for all numbers.

Step1:

LCM(600, 123) = 24600

GCD(600, 123) = ( 600 x 123 ) / 24600

= 600 / 123

= 600

Step2:

LCM(3, 900) = 900

GCD(3, 900) = ( 3 x 900 ) / 900

= 3 / 900

= 3

Step3:

LCM(3, 460) = 1380

GCD(3, 460) = ( 3 x 460 ) / 1380

= 3 / 460

= 3

So, Greatest Common Divisor of 600, 123, 900, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 433, 224, 783
• GCD of 181, 215, 190, 970
• GCD of 852, 945, 745, 535
• GCD of 385, 933, 991, 804
• GCD of 460, 211, 252, 274

Given numbers are 600, 123, 900, 460
The greatest common divisor of numbers 600, 123, 900, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 123, 900, 460 is 1.

1. What is the GCD of 600, 123, 900, 460?

GCD of given numbers 600, 123, 900, 460 is 1

2. How to calculate the greatest common divisor of 600, 123, 900, 460?

We can find the highest common divisor of 600, 123, 900, 460 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, 123, 900, 460 i.e 1.

3. How can I use the GCD of 600, 123, 900, 460Calculator?

Out the numbers 600, 123, 900, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.