GCD of 584, 420, 189, 290 Calculator

Given Input numbers are 584, 420, 189, 290

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 189 :

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

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

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (584, 420, 189, 290) = 1.

Given numbers are 584, 420, 189, 290

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 290 are 2 x 5 x 29

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

Given numbers are 584, 420, 189, 290

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

Apply this formula for all numbers.

Step1:

LCM(584, 420) = 61320

GCD(584, 420) = ( 584 x 420 ) / 61320

= 584 / 420

= 584

Step2:

LCM(4, 189) = 756

GCD(4, 189) = ( 4 x 189 ) / 756

= 4 / 189

= 4

Step3:

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

= 1 / 290

= 1

So, Greatest Common Divisor of 584, 420, 189, 290 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 259, 757, 720
• GCD of 475, 810, 141, 347
• GCD of 975, 983, 383, 474
• GCD of 574, 738, 908, 807
• GCD of 395, 499, 412, 745

Given numbers are 584, 420, 189, 290
The greatest common divisor of numbers 584, 420, 189, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 420, 189, 290 is 1.

1. What is the GCD of 584, 420, 189, 290?

GCD of given numbers 584, 420, 189, 290 is 1

2. How to calculate the greatest common divisor of 584, 420, 189, 290?

We can find the highest common divisor of 584, 420, 189, 290 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 584, 420, 189, 290 i.e 1.

3. How can I use the GCD of 584, 420, 189, 290Calculator?

Out the numbers 584, 420, 189, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.