GCD of 564, 468, 730, 349 Calculator

Given Input numbers are 564, 468, 730, 349

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

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

GCD of numbers is the greatest common divisor

So, the GCD (564, 468, 730, 349) = 1.

Given numbers are 564, 468, 730, 349

The list of prime factors of all numbers are

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

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 730 are 2 x 5 x 73

Prime factors of 349 are 349

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

Given numbers are 564, 468, 730, 349

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

Apply this formula for all numbers.

Step1:

LCM(564, 468) = 21996

GCD(564, 468) = ( 564 x 468 ) / 21996

= 564 / 468

= 564

Step2:

LCM(12, 730) = 4380

GCD(12, 730) = ( 12 x 730 ) / 4380

= 12 / 730

= 12

Step3:

LCM(2, 349) = 698

GCD(2, 349) = ( 2 x 349 ) / 698

= 2 / 349

= 2

So, Greatest Common Divisor of 564, 468, 730, 349 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 235, 330, 878
• GCD of 113, 159, 809, 286
• GCD of 364, 224, 439, 772
• GCD of 592, 350, 811, 913
• GCD of 845, 271, 849, 437

Given numbers are 564, 468, 730, 349
The greatest common divisor of numbers 564, 468, 730, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 468, 730, 349 is 1.

1. What is the GCD of 564, 468, 730, 349?

GCD of given numbers 564, 468, 730, 349 is 1

2. How to calculate the greatest common divisor of 564, 468, 730, 349?

We can find the highest common divisor of 564, 468, 730, 349 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 564, 468, 730, 349 i.e 1.

3. How can I use the GCD of 564, 468, 730, 349Calculator?

Out the numbers 564, 468, 730, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.