GCD of 852, 659, 412, 360 Calculator

Given Input numbers are 852, 659, 412, 360

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

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

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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

GCD of numbers is the greatest common divisor

So, the GCD (852, 659, 412, 360) = 1.

Given numbers are 852, 659, 412, 360

The list of prime factors of all numbers are

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

Prime factors of 659 are 659

Prime factors of 412 are 2 x 2 x 103

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

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

Given numbers are 852, 659, 412, 360

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

Apply this formula for all numbers.

Step1:

LCM(852, 659) = 561468

GCD(852, 659) = ( 852 x 659 ) / 561468

= 852 / 659

= 852

Step2:

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

= 1 / 412

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 852, 659, 412, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 707, 164, 474
• GCD of 757, 252, 748, 871
• GCD of 965, 736, 603, 258
• GCD of 232, 195, 408, 585
• GCD of 556, 160, 824, 213

Given numbers are 852, 659, 412, 360
The greatest common divisor of numbers 852, 659, 412, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 659, 412, 360 is 1.

1. What is the GCD of 852, 659, 412, 360?

GCD of given numbers 852, 659, 412, 360 is 1

2. How to calculate the greatest common divisor of 852, 659, 412, 360?

We can find the highest common divisor of 852, 659, 412, 360 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 852, 659, 412, 360 i.e 1.

3. How can I use the GCD of 852, 659, 412, 360Calculator?

Out the numbers 852, 659, 412, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.