GCD of 600, 753, 684, 494 Calculator

Given Input numbers are 600, 753, 684, 494

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 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (600, 753, 684, 494) = 1.

Given numbers are 600, 753, 684, 494

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 753 are 3 x 251

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 494 are 2 x 13 x 19

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

Given numbers are 600, 753, 684, 494

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

Apply this formula for all numbers.

Step1:

LCM(600, 753) = 150600

GCD(600, 753) = ( 600 x 753 ) / 150600

= 600 / 753

= 600

Step2:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3

Step3:

LCM(3, 494) = 1482

GCD(3, 494) = ( 3 x 494 ) / 1482

= 3 / 494

= 3

So, Greatest Common Divisor of 600, 753, 684, 494 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 409, 196, 126
• GCD of 300, 413, 801, 307
• GCD of 552, 855, 652, 361
• GCD of 179, 708, 867, 724
• GCD of 940, 601, 296, 832

Given numbers are 600, 753, 684, 494
The greatest common divisor of numbers 600, 753, 684, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 753, 684, 494 is 1.

1. What is the GCD of 600, 753, 684, 494?

GCD of given numbers 600, 753, 684, 494 is 1

2. How to calculate the greatest common divisor of 600, 753, 684, 494?

We can find the highest common divisor of 600, 753, 684, 494 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, 753, 684, 494 i.e 1.

3. How can I use the GCD of 600, 753, 684, 494Calculator?

Out the numbers 600, 753, 684, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.