GCD of 930, 870, 855, 564 Calculator

Given Input numbers are 930, 870, 855, 564

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

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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

GCD of numbers is the greatest common divisor

So, the GCD (930, 870, 855, 564) = 3.

Given numbers are 930, 870, 855, 564

The list of prime factors of all numbers are

Prime factors of 930 are 2 x 3 x 5 x 31

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

Prime factors of 855 are 3 x 3 x 5 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 930, 870, 855, 564 is 3.

Given numbers are 930, 870, 855, 564

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

Apply this formula for all numbers.

Step1:

LCM(930, 870) = 26970

GCD(930, 870) = ( 930 x 870 ) / 26970

= 930 / 870

= 930

Step2:

LCM(30, 855) = 1710

GCD(30, 855) = ( 30 x 855 ) / 1710

= 30 / 855

= 30

Step3:

LCM(15, 564) = 2820

GCD(15, 564) = ( 15 x 564 ) / 2820

= 15 / 564

= 15

So, Greatest Common Divisor of 930, 870, 855, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 653, 242, 146
• GCD of 599, 226, 722, 327
• GCD of 578, 390, 717, 109
• GCD of 880, 716, 636, 733
• GCD of 464, 146, 930, 569

Given numbers are 930, 870, 855, 564
The greatest common divisor of numbers 930, 870, 855, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 930, 870, 855, 564 is 3.

1. What is the GCD of 930, 870, 855, 564?

GCD of given numbers 930, 870, 855, 564 is 3

2. How to calculate the greatest common divisor of 930, 870, 855, 564?

We can find the highest common divisor of 930, 870, 855, 564 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 930, 870, 855, 564 i.e 3.

3. How can I use the GCD of 930, 870, 855, 564Calculator?

Out the numbers 930, 870, 855, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.