GCD of 195, 360, 458, 852 Calculator

Given Input numbers are 195, 360, 458, 852

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

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (195, 360, 458, 852) = 1.

Given numbers are 195, 360, 458, 852

The list of prime factors of all numbers are

Prime factors of 195 are 3 x 5 x 13

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 458 are 2 x 229

Prime factors of 852 are 2 x 2 x 3 x 71

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

Given numbers are 195, 360, 458, 852

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

Apply this formula for all numbers.

Step1:

LCM(195, 360) = 4680

GCD(195, 360) = ( 195 x 360 ) / 4680

= 195 / 360

= 195

Step2:

LCM(15, 458) = 6870

GCD(15, 458) = ( 15 x 458 ) / 6870

= 15 / 458

= 15

Step3:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

So, Greatest Common Divisor of 195, 360, 458, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 659, 365, 325
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• GCD of 703, 115, 277, 249

Given numbers are 195, 360, 458, 852
The greatest common divisor of numbers 195, 360, 458, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 360, 458, 852 is 1.

1. What is the GCD of 195, 360, 458, 852?

GCD of given numbers 195, 360, 458, 852 is 1

2. How to calculate the greatest common divisor of 195, 360, 458, 852?

We can find the highest common divisor of 195, 360, 458, 852 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 195, 360, 458, 852 i.e 1.

3. How can I use the GCD of 195, 360, 458, 852Calculator?

Out the numbers 195, 360, 458, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.