GCD of 204, 735, 344, 480 Calculator

Given Input numbers are 204, 735, 344, 480

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (204, 735, 344, 480) = 1.

Given numbers are 204, 735, 344, 480

The list of prime factors of all numbers are

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

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 204, 735, 344, 480

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

Apply this formula for all numbers.

Step1:

LCM(204, 735) = 49980

GCD(204, 735) = ( 204 x 735 ) / 49980

= 204 / 735

= 204

Step2:

LCM(3, 344) = 1032

GCD(3, 344) = ( 3 x 344 ) / 1032

= 3 / 344

= 3

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 204, 735, 344, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 109, 327, 221
• GCD of 184, 847, 189, 139
• GCD of 961, 977, 353, 148
• GCD of 756, 635, 289, 408
• GCD of 544, 805, 927, 537

Given numbers are 204, 735, 344, 480
The greatest common divisor of numbers 204, 735, 344, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 735, 344, 480 is 1.

1. What is the GCD of 204, 735, 344, 480?

GCD of given numbers 204, 735, 344, 480 is 1

2. How to calculate the greatest common divisor of 204, 735, 344, 480?

We can find the highest common divisor of 204, 735, 344, 480 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, 735, 344, 480 i.e 1.

3. How can I use the GCD of 204, 735, 344, 480Calculator?

Out the numbers 204, 735, 344, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.