GCD of 189, 360, 669, 986 Calculator

Given Input numbers are 189, 360, 669, 986

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

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 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

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 (189, 360, 669, 986) = 1.

Given numbers are 189, 360, 669, 986

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

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

Prime factors of 669 are 3 x 223

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 189, 360, 669, 986

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

Apply this formula for all numbers.

Step1:

LCM(189, 360) = 7560

GCD(189, 360) = ( 189 x 360 ) / 7560

= 189 / 360

= 189

Step2:

LCM(9, 669) = 2007

GCD(9, 669) = ( 9 x 669 ) / 2007

= 9 / 669

= 9

Step3:

LCM(3, 986) = 2958

GCD(3, 986) = ( 3 x 986 ) / 2958

= 3 / 986

= 3

So, Greatest Common Divisor of 189, 360, 669, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 526, 154, 140
• GCD of 429, 711, 284, 211
• GCD of 442, 879, 863, 284
• GCD of 860, 890, 380, 357
• GCD of 538, 390, 391, 906

Given numbers are 189, 360, 669, 986
The greatest common divisor of numbers 189, 360, 669, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 360, 669, 986 is 1.

1. What is the GCD of 189, 360, 669, 986?

GCD of given numbers 189, 360, 669, 986 is 1

2. How to calculate the greatest common divisor of 189, 360, 669, 986?

We can find the highest common divisor of 189, 360, 669, 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 189, 360, 669, 986 i.e 1.

3. How can I use the GCD of 189, 360, 669, 986Calculator?

Out the numbers 189, 360, 669, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.