GCD of 828, 852, 231, 291 Calculator

Given Input numbers are 828, 852, 231, 291

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 231 :

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

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

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

GCD of numbers is the greatest common divisor

So, the GCD (828, 852, 231, 291) = 3.

Given numbers are 828, 852, 231, 291

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Prime factors of 231 are 3 x 7 x 11

Prime factors of 291 are 3 x 97

The highest common occurrence is 3¹

Therefore, GCD of 828, 852, 231, 291 is 3.

Given numbers are 828, 852, 231, 291

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

Apply this formula for all numbers.

Step1:

LCM(828, 852) = 58788

GCD(828, 852) = ( 828 x 852 ) / 58788

= 828 / 852

= 828

Step2:

LCM(12, 231) = 924

GCD(12, 231) = ( 12 x 231 ) / 924

= 12 / 231

= 12

Step3:

LCM(3, 291) = 291

GCD(3, 291) = ( 3 x 291 ) / 291

= 3 / 291

= 3

So, Greatest Common Divisor of 828, 852, 231, 291 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 808, 753, 777, 560
• GCD of 344, 599, 681, 912
• GCD of 251, 281, 999, 172
• GCD of 819, 669, 839, 965
• GCD of 934, 194, 962, 706

Given numbers are 828, 852, 231, 291
The greatest common divisor of numbers 828, 852, 231, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 852, 231, 291 is 3.

1. What is the GCD of 828, 852, 231, 291?

GCD of given numbers 828, 852, 231, 291 is 3

2. How to calculate the greatest common divisor of 828, 852, 231, 291?

We can find the highest common divisor of 828, 852, 231, 291 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 828, 852, 231, 291 i.e 3.

3. How can I use the GCD of 828, 852, 231, 291Calculator?

Out the numbers 828, 852, 231, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.