GCD of 321, 175, 564, 344 Calculator

Given Input numbers are 321, 175, 564, 344

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (321, 175, 564, 344) = 1.

Given numbers are 321, 175, 564, 344

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 175 are 5 x 5 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 344 are 2 x 2 x 2 x 43

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

Given numbers are 321, 175, 564, 344

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

Apply this formula for all numbers.

Step1:

LCM(321, 175) = 56175

GCD(321, 175) = ( 321 x 175 ) / 56175

= 321 / 175

= 321

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

= 1 / 344

= 1

So, Greatest Common Divisor of 321, 175, 564, 344 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 666, 525, 813, 536
• GCD of 855, 633, 883, 545
• GCD of 974, 550, 720, 932
• GCD of 699, 212, 672, 568
• GCD of 645, 450, 971, 194

Given numbers are 321, 175, 564, 344
The greatest common divisor of numbers 321, 175, 564, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 175, 564, 344 is 1.

1. What is the GCD of 321, 175, 564, 344?

GCD of given numbers 321, 175, 564, 344 is 1

2. How to calculate the greatest common divisor of 321, 175, 564, 344?

We can find the highest common divisor of 321, 175, 564, 344 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 321, 175, 564, 344 i.e 1.

3. How can I use the GCD of 321, 175, 564, 344Calculator?

Out the numbers 321, 175, 564, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.