GCD of 231, 852, 507, 564 Calculator

Given Input numbers are 231, 852, 507, 564

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

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 (231, 852, 507, 564) = 3.

Given numbers are 231, 852, 507, 564

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 507 are 3 x 13 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 231, 852, 507, 564 is 3.

Given numbers are 231, 852, 507, 564

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

Apply this formula for all numbers.

Step1:

LCM(231, 852) = 65604

GCD(231, 852) = ( 231 x 852 ) / 65604

= 231 / 852

= 231

Step2:

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

= 3 / 507

= 3

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 231, 852, 507, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 947, 875, 567
• GCD of 831, 168, 433, 446
• GCD of 233, 584, 722, 277
• GCD of 461, 607, 370, 324
• GCD of 353, 149, 614, 781

Given numbers are 231, 852, 507, 564
The greatest common divisor of numbers 231, 852, 507, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 852, 507, 564 is 3.

1. What is the GCD of 231, 852, 507, 564?

GCD of given numbers 231, 852, 507, 564 is 3

2. How to calculate the greatest common divisor of 231, 852, 507, 564?

We can find the highest common divisor of 231, 852, 507, 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 231, 852, 507, 564 i.e 3.

3. How can I use the GCD of 231, 852, 507, 564Calculator?

Out the numbers 231, 852, 507, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.