GCD of 588, 585, 414, 354 Calculator

Given Input numbers are 588, 585, 414, 354

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

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

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (588, 585, 414, 354) = 3.

Given numbers are 588, 585, 414, 354

The list of prime factors of all numbers are

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

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 588, 585, 414, 354 is 3.

Given numbers are 588, 585, 414, 354

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

Apply this formula for all numbers.

Step1:

LCM(588, 585) = 114660

GCD(588, 585) = ( 588 x 585 ) / 114660

= 588 / 585

= 588

Step2:

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

= 3 / 414

= 3

Step3:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

So, Greatest Common Divisor of 588, 585, 414, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 938, 906, 918
• GCD of 430, 275, 919, 653
• GCD of 859, 487, 910, 733
• GCD of 654, 596, 226, 597
• GCD of 500, 206, 837, 631

Given numbers are 588, 585, 414, 354
The greatest common divisor of numbers 588, 585, 414, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 588, 585, 414, 354 is 3.

1. What is the GCD of 588, 585, 414, 354?

GCD of given numbers 588, 585, 414, 354 is 3

2. How to calculate the greatest common divisor of 588, 585, 414, 354?

We can find the highest common divisor of 588, 585, 414, 354 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 588, 585, 414, 354 i.e 3.

3. How can I use the GCD of 588, 585, 414, 354Calculator?

Out the numbers 588, 585, 414, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.