GCD of 822, 966, 270, 891 Calculator

Given Input numbers are 822, 966, 270, 891

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

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 891 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (822, 966, 270, 891) = 3.

Given numbers are 822, 966, 270, 891

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

The highest common occurrence is 3¹

Therefore, GCD of 822, 966, 270, 891 is 3.

Given numbers are 822, 966, 270, 891

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

Apply this formula for all numbers.

Step1:

LCM(822, 966) = 132342

GCD(822, 966) = ( 822 x 966 ) / 132342

= 822 / 966

= 822

Step2:

LCM(6, 270) = 270

GCD(6, 270) = ( 6 x 270 ) / 270

= 6 / 270

= 6

Step3:

LCM(6, 891) = 1782

GCD(6, 891) = ( 6 x 891 ) / 1782

= 6 / 891

= 6

So, Greatest Common Divisor of 822, 966, 270, 891 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 452, 214, 865
• GCD of 176, 572, 234, 784
• GCD of 312, 231, 741, 671
• GCD of 509, 813, 191, 532
• GCD of 491, 721, 208, 253

Given numbers are 822, 966, 270, 891
The greatest common divisor of numbers 822, 966, 270, 891 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 966, 270, 891 is 3.

1. What is the GCD of 822, 966, 270, 891?

GCD of given numbers 822, 966, 270, 891 is 3

2. How to calculate the greatest common divisor of 822, 966, 270, 891?

We can find the highest common divisor of 822, 966, 270, 891 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 822, 966, 270, 891 i.e 3.

3. How can I use the GCD of 822, 966, 270, 891Calculator?

Out the numbers 822, 966, 270, 891 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.