GCD of 354, 664, 772, 589 Calculator

Given Input numbers are 354, 664, 772, 589

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

Divisors of 354 :

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

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

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 589 :

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

1, 19, 31, 589

GCD of numbers is the greatest common divisor

So, the GCD (354, 664, 772, 589) = 1.

Given numbers are 354, 664, 772, 589

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 772 are 2 x 2 x 193

Prime factors of 589 are 19 x 31

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

Given numbers are 354, 664, 772, 589

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

Apply this formula for all numbers.

Step1:

LCM(354, 664) = 117528

GCD(354, 664) = ( 354 x 664 ) / 117528

= 354 / 664

= 354

Step2:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

Step3:

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

= 2 / 589

= 2

So, Greatest Common Divisor of 354, 664, 772, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 318, 886, 266
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Given numbers are 354, 664, 772, 589
The greatest common divisor of numbers 354, 664, 772, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 664, 772, 589 is 1.

1. What is the GCD of 354, 664, 772, 589?

GCD of given numbers 354, 664, 772, 589 is 1

2. How to calculate the greatest common divisor of 354, 664, 772, 589?

We can find the highest common divisor of 354, 664, 772, 589 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 354, 664, 772, 589 i.e 1.

3. How can I use the GCD of 354, 664, 772, 589Calculator?

Out the numbers 354, 664, 772, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.