GCD of 189, 472, 706, 588 Calculator

Given Input numbers are 189, 472, 706, 588

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (189, 472, 706, 588) = 1.

Given numbers are 189, 472, 706, 588

The list of prime factors of all numbers are

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

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 706 are 2 x 353

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

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

Given numbers are 189, 472, 706, 588

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

Apply this formula for all numbers.

Step1:

LCM(189, 472) = 89208

GCD(189, 472) = ( 189 x 472 ) / 89208

= 189 / 472

= 189

Step2:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1

Step3:

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

= 1 / 588

= 1

So, Greatest Common Divisor of 189, 472, 706, 588 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 253, 399, 790
• GCD of 932, 659, 899, 114
• GCD of 424, 795, 395, 251
• GCD of 222, 730, 344, 447
• GCD of 753, 655, 848, 746

Given numbers are 189, 472, 706, 588
The greatest common divisor of numbers 189, 472, 706, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 472, 706, 588 is 1.

1. What is the GCD of 189, 472, 706, 588?

GCD of given numbers 189, 472, 706, 588 is 1

2. How to calculate the greatest common divisor of 189, 472, 706, 588?

We can find the highest common divisor of 189, 472, 706, 588 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, 472, 706, 588 i.e 1.

3. How can I use the GCD of 189, 472, 706, 588Calculator?

Out the numbers 189, 472, 706, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.