GCD of 412, 357, 360, 986 Calculator

Given Input numbers are 412, 357, 360, 986

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

Divisors of 412 :

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

1, 2, 4, 103, 206, 412

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (412, 357, 360, 986) = 1.

Given numbers are 412, 357, 360, 986

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

Prime factors of 357 are 3 x 7 x 17

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

Prime factors of 986 are 2 x 17 x 29

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

Given numbers are 412, 357, 360, 986

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

Apply this formula for all numbers.

Step1:

LCM(412, 357) = 147084

GCD(412, 357) = ( 412 x 357 ) / 147084

= 412 / 357

= 412

Step2:

LCM(1, 360) = 360

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

= 1 / 360

= 1

Step3:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1

So, Greatest Common Divisor of 412, 357, 360, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 721, 897, 808
• GCD of 336, 868, 332, 886
• GCD of 884, 484, 430, 669
• GCD of 922, 158, 153, 883
• GCD of 958, 215, 926, 378

Given numbers are 412, 357, 360, 986
The greatest common divisor of numbers 412, 357, 360, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 357, 360, 986 is 1.

1. What is the GCD of 412, 357, 360, 986?

GCD of given numbers 412, 357, 360, 986 is 1

2. How to calculate the greatest common divisor of 412, 357, 360, 986?

We can find the highest common divisor of 412, 357, 360, 986 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 412, 357, 360, 986 i.e 1.

3. How can I use the GCD of 412, 357, 360, 986Calculator?

Out the numbers 412, 357, 360, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.