GCD of 822, 399, 504, 270 Calculator

Given Input numbers are 822, 399, 504, 270

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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

GCD of numbers is the greatest common divisor

So, the GCD (822, 399, 504, 270) = 3.

Given numbers are 822, 399, 504, 270

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 399 are 3 x 7 x 19

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 822, 399, 504, 270 is 3.

Given numbers are 822, 399, 504, 270

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

Apply this formula for all numbers.

Step1:

LCM(822, 399) = 109326

GCD(822, 399) = ( 822 x 399 ) / 109326

= 822 / 399

= 822

Step2:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

Step3:

LCM(3, 270) = 270

GCD(3, 270) = ( 3 x 270 ) / 270

= 3 / 270

= 3

So, Greatest Common Divisor of 822, 399, 504, 270 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 840, 762, 957, 236
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Given numbers are 822, 399, 504, 270
The greatest common divisor of numbers 822, 399, 504, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 399, 504, 270 is 3.

1. What is the GCD of 822, 399, 504, 270?

GCD of given numbers 822, 399, 504, 270 is 3

2. How to calculate the greatest common divisor of 822, 399, 504, 270?

We can find the highest common divisor of 822, 399, 504, 270 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, 399, 504, 270 i.e 3.

3. How can I use the GCD of 822, 399, 504, 270Calculator?

Out the numbers 822, 399, 504, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.