GCD of 589, 150, 378, 364 Calculator

Given Input numbers are 589, 150, 378, 364

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

Divisors of 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (589, 150, 378, 364) = 1.

Given numbers are 589, 150, 378, 364

The list of prime factors of all numbers are

Prime factors of 589 are 19 x 31

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 589, 150, 378, 364

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

Apply this formula for all numbers.

Step1:

LCM(589, 150) = 88350

GCD(589, 150) = ( 589 x 150 ) / 88350

= 589 / 150

= 589

Step2:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 589, 150, 378, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 805, 946, 748
• GCD of 103, 843, 723, 179
• GCD of 883, 525, 735, 897
• GCD of 358, 380, 563, 312
• GCD of 908, 546, 977, 230

Given numbers are 589, 150, 378, 364
The greatest common divisor of numbers 589, 150, 378, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 589, 150, 378, 364 is 1.

1. What is the GCD of 589, 150, 378, 364?

GCD of given numbers 589, 150, 378, 364 is 1

2. How to calculate the greatest common divisor of 589, 150, 378, 364?

We can find the highest common divisor of 589, 150, 378, 364 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 589, 150, 378, 364 i.e 1.

3. How can I use the GCD of 589, 150, 378, 364Calculator?

Out the numbers 589, 150, 378, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.