GCD of 609, 753, 840, 204 Calculator

Given Input numbers are 609, 753, 840, 204

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 753 :

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

1, 3, 251, 753

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

GCD of numbers is the greatest common divisor

So, the GCD (609, 753, 840, 204) = 3.

Given numbers are 609, 753, 840, 204

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 753 are 3 x 251

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 609, 753, 840, 204 is 3.

Given numbers are 609, 753, 840, 204

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

Apply this formula for all numbers.

Step1:

LCM(609, 753) = 152859

GCD(609, 753) = ( 609 x 753 ) / 152859

= 609 / 753

= 609

Step2:

LCM(3, 840) = 840

GCD(3, 840) = ( 3 x 840 ) / 840

= 3 / 840

= 3

Step3:

LCM(3, 204) = 204

GCD(3, 204) = ( 3 x 204 ) / 204

= 3 / 204

= 3

So, Greatest Common Divisor of 609, 753, 840, 204 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 330, 457, 474
• GCD of 147, 920, 879, 548
• GCD of 224, 428, 923, 833
• GCD of 978, 480, 544, 632
• GCD of 993, 913, 186, 872

Given numbers are 609, 753, 840, 204
The greatest common divisor of numbers 609, 753, 840, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 753, 840, 204 is 3.

1. What is the GCD of 609, 753, 840, 204?

GCD of given numbers 609, 753, 840, 204 is 3

2. How to calculate the greatest common divisor of 609, 753, 840, 204?

We can find the highest common divisor of 609, 753, 840, 204 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 609, 753, 840, 204 i.e 3.

3. How can I use the GCD of 609, 753, 840, 204Calculator?

Out the numbers 609, 753, 840, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.