GCD of 378, 228, 522, 861 Calculator

Given Input numbers are 378, 228, 522, 861

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 861 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (378, 228, 522, 861) = 3.

Given numbers are 378, 228, 522, 861

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 861 are 3 x 7 x 41

The highest common occurrence is 3¹

Therefore, GCD of 378, 228, 522, 861 is 3.

Given numbers are 378, 228, 522, 861

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

Apply this formula for all numbers.

Step1:

LCM(378, 228) = 14364

GCD(378, 228) = ( 378 x 228 ) / 14364

= 378 / 228

= 378

Step2:

LCM(6, 522) = 522

GCD(6, 522) = ( 6 x 522 ) / 522

= 6 / 522

= 6

Step3:

LCM(6, 861) = 1722

GCD(6, 861) = ( 6 x 861 ) / 1722

= 6 / 861

= 6

So, Greatest Common Divisor of 378, 228, 522, 861 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 759, 719, 383
• GCD of 533, 540, 332, 229
• GCD of 369, 234, 326, 119
• GCD of 175, 715, 901, 155
• GCD of 786, 292, 613, 621

Given numbers are 378, 228, 522, 861
The greatest common divisor of numbers 378, 228, 522, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 228, 522, 861 is 3.

1. What is the GCD of 378, 228, 522, 861?

GCD of given numbers 378, 228, 522, 861 is 3

2. How to calculate the greatest common divisor of 378, 228, 522, 861?

We can find the highest common divisor of 378, 228, 522, 861 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 378, 228, 522, 861 i.e 3.

3. How can I use the GCD of 378, 228, 522, 861Calculator?

Out the numbers 378, 228, 522, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.