GCD of 204, 600, 379, 709 Calculator

Given Input numbers are 204, 600, 379, 709

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (204, 600, 379, 709) = 1.

Given numbers are 204, 600, 379, 709

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

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

Prime factors of 379 are 379

Prime factors of 709 are 709

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

Given numbers are 204, 600, 379, 709

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

Apply this formula for all numbers.

Step1:

LCM(204, 600) = 10200

GCD(204, 600) = ( 204 x 600 ) / 10200

= 204 / 600

= 204

Step2:

LCM(12, 379) = 4548

GCD(12, 379) = ( 12 x 379 ) / 4548

= 12 / 379

= 12

Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

So, Greatest Common Divisor of 204, 600, 379, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 336, 494, 505, 865
• GCD of 457, 667, 640, 454
• GCD of 268, 139, 420, 892
• GCD of 897, 777, 900, 514
• GCD of 184, 502, 807, 173

Given numbers are 204, 600, 379, 709
The greatest common divisor of numbers 204, 600, 379, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 600, 379, 709 is 1.

1. What is the GCD of 204, 600, 379, 709?

GCD of given numbers 204, 600, 379, 709 is 1

2. How to calculate the greatest common divisor of 204, 600, 379, 709?

We can find the highest common divisor of 204, 600, 379, 709 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 204, 600, 379, 709 i.e 1.

3. How can I use the GCD of 204, 600, 379, 709Calculator?

Out the numbers 204, 600, 379, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.