GCD of 564, 355, 313, 867 Calculator

Given Input numbers are 564, 355, 313, 867

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 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (564, 355, 313, 867) = 1.

Given numbers are 564, 355, 313, 867

The list of prime factors of all numbers are

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

Prime factors of 355 are 5 x 71

Prime factors of 313 are 313

Prime factors of 867 are 3 x 17 x 17

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

Given numbers are 564, 355, 313, 867

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

Apply this formula for all numbers.

Step1:

LCM(564, 355) = 200220

GCD(564, 355) = ( 564 x 355 ) / 200220

= 564 / 355

= 564

Step2:

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

= 1 / 313

= 1

Step3:

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

= 1 / 867

= 1

So, Greatest Common Divisor of 564, 355, 313, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 630, 137, 518
• GCD of 287, 836, 107, 436
• GCD of 231, 706, 232, 340
• GCD of 832, 335, 981, 786
• GCD of 454, 186, 115, 904

Given numbers are 564, 355, 313, 867
The greatest common divisor of numbers 564, 355, 313, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 355, 313, 867 is 1.

1. What is the GCD of 564, 355, 313, 867?

GCD of given numbers 564, 355, 313, 867 is 1

2. How to calculate the greatest common divisor of 564, 355, 313, 867?

We can find the highest common divisor of 564, 355, 313, 867 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, 355, 313, 867 i.e 1.

3. How can I use the GCD of 564, 355, 313, 867Calculator?

Out the numbers 564, 355, 313, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.