GCD of 564, 867, 346, 870 Calculator

Given Input numbers are 564, 867, 346, 870

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 867 :

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

1, 3, 17, 51, 289, 867

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (564, 867, 346, 870) = 1.

Given numbers are 564, 867, 346, 870

The list of prime factors of all numbers are

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

Prime factors of 867 are 3 x 17 x 17

Prime factors of 346 are 2 x 173

Prime factors of 870 are 2 x 3 x 5 x 29

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

Given numbers are 564, 867, 346, 870

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

Apply this formula for all numbers.

Step1:

LCM(564, 867) = 162996

GCD(564, 867) = ( 564 x 867 ) / 162996

= 564 / 867

= 564

Step2:

LCM(3, 346) = 1038

GCD(3, 346) = ( 3 x 346 ) / 1038

= 3 / 346

= 3

Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

So, Greatest Common Divisor of 564, 867, 346, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 338, 948, 869
• GCD of 321, 177, 106, 782
• GCD of 361, 453, 993, 807
• GCD of 104, 163, 710, 569
• GCD of 462, 728, 419, 477

Given numbers are 564, 867, 346, 870
The greatest common divisor of numbers 564, 867, 346, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 867, 346, 870 is 1.

1. What is the GCD of 564, 867, 346, 870?

GCD of given numbers 564, 867, 346, 870 is 1

2. How to calculate the greatest common divisor of 564, 867, 346, 870?

We can find the highest common divisor of 564, 867, 346, 870 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, 867, 346, 870 i.e 1.

3. How can I use the GCD of 564, 867, 346, 870Calculator?

Out the numbers 564, 867, 346, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.