GCD of 297, 861, 828, 396 Calculator

Given Input numbers are 297, 861, 828, 396

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (297, 861, 828, 396) = 3.

Given numbers are 297, 861, 828, 396

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 861 are 3 x 7 x 41

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 297, 861, 828, 396 is 3.

Given numbers are 297, 861, 828, 396

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

Apply this formula for all numbers.

Step1:

LCM(297, 861) = 85239

GCD(297, 861) = ( 297 x 861 ) / 85239

= 297 / 861

= 297

Step2:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

Step3:

LCM(3, 396) = 396

GCD(3, 396) = ( 3 x 396 ) / 396

= 3 / 396

= 3

So, Greatest Common Divisor of 297, 861, 828, 396 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 502, 691, 447
• GCD of 838, 944, 565, 949
• GCD of 336, 691, 565, 320
• GCD of 427, 792, 257, 147
• GCD of 130, 108, 458, 421

Given numbers are 297, 861, 828, 396
The greatest common divisor of numbers 297, 861, 828, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 861, 828, 396 is 3.

1. What is the GCD of 297, 861, 828, 396?

GCD of given numbers 297, 861, 828, 396 is 3

2. How to calculate the greatest common divisor of 297, 861, 828, 396?

We can find the highest common divisor of 297, 861, 828, 396 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 297, 861, 828, 396 i.e 3.

3. How can I use the GCD of 297, 861, 828, 396Calculator?

Out the numbers 297, 861, 828, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.