GCD of 120, 204, 346, 225 Calculator

Given Input numbers are 120, 204, 346, 225

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (120, 204, 346, 225) = 1.

Given numbers are 120, 204, 346, 225

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Prime factors of 346 are 2 x 173

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 120, 204, 346, 225

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

Apply this formula for all numbers.

Step1:

LCM(120, 204) = 2040

GCD(120, 204) = ( 120 x 204 ) / 2040

= 120 / 204

= 120

Step2:

LCM(12, 346) = 2076

GCD(12, 346) = ( 12 x 346 ) / 2076

= 12 / 346

= 12

Step3:

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

= 2 / 225

= 2

So, Greatest Common Divisor of 120, 204, 346, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 241, 284, 287, 923
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• GCD of 827, 102, 678, 719

Given numbers are 120, 204, 346, 225
The greatest common divisor of numbers 120, 204, 346, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 204, 346, 225 is 1.

1. What is the GCD of 120, 204, 346, 225?

GCD of given numbers 120, 204, 346, 225 is 1

2. How to calculate the greatest common divisor of 120, 204, 346, 225?

We can find the highest common divisor of 120, 204, 346, 225 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 120, 204, 346, 225 i.e 1.

3. How can I use the GCD of 120, 204, 346, 225Calculator?

Out the numbers 120, 204, 346, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.