GCD of 322, 340, 588, 464 Calculator

Given Input numbers are 322, 340, 588, 464

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (322, 340, 588, 464) = 2.

Given numbers are 322, 340, 588, 464

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 340 are 2 x 2 x 5 x 17

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

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 322, 340, 588, 464 is 2.

Given numbers are 322, 340, 588, 464

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

Apply this formula for all numbers.

Step1:

LCM(322, 340) = 54740

GCD(322, 340) = ( 322 x 340 ) / 54740

= 322 / 340

= 322

Step2:

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

= 2 / 588

= 2

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 322, 340, 588, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 344, 346, 464
• GCD of 716, 384, 141, 940
• GCD of 460, 320, 486, 411
• GCD of 580, 444, 861, 977
• GCD of 826, 173, 392, 477

Given numbers are 322, 340, 588, 464
The greatest common divisor of numbers 322, 340, 588, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 340, 588, 464 is 2.

1. What is the GCD of 322, 340, 588, 464?

GCD of given numbers 322, 340, 588, 464 is 2

2. How to calculate the greatest common divisor of 322, 340, 588, 464?

We can find the highest common divisor of 322, 340, 588, 464 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 322, 340, 588, 464 i.e 2.

3. How can I use the GCD of 322, 340, 588, 464Calculator?

Out the numbers 322, 340, 588, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.