GCD of 891, 570, 378 Calculator

Given Input numbers are 891, 570, 378

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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

GCD of numbers is the greatest common divisor

So, the GCD (891, 570, 378) = 3.

Given numbers are 891, 570, 378

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 570 are 2 x 3 x 5 x 19

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

The highest common occurrence is 3¹

Therefore, GCD of 891, 570, 378 is 3.

Given numbers are 891, 570, 378

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

Apply this formula for all numbers.

Step1:

LCM(891, 570) = 169290

GCD(891, 570) = ( 891 x 570 ) / 169290

= 891 / 570

= 891

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 891, 570, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 723, 697
• GCD of 375, 493, 407
• GCD of 321, 564, 529
• GCD of 634, 743, 966
• GCD of 232, 601, 680

Given numbers are 891, 570, 378
The greatest common divisor of numbers 891, 570, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 570, 378 is 3.

1. What is the GCD of 891, 570, 378?

GCD of given numbers 891, 570, 378 is 3

2. How to calculate the greatest common divisor of 891, 570, 378?

We can find the highest common divisor of 891, 570, 378 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 891, 570, 378 i.e 3.

3. How can I use the GCD of 891, 570, 378Calculator?

Out the numbers 891, 570, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.