GCD of 270, 728, 822, 764 Calculator

Given Input numbers are 270, 728, 822, 764

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

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 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 822 :

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

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (270, 728, 822, 764) = 2.

Given numbers are 270, 728, 822, 764

The list of prime factors of all numbers are

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

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 822 are 2 x 3 x 137

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 270, 728, 822, 764 is 2.

Given numbers are 270, 728, 822, 764

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

Apply this formula for all numbers.

Step1:

LCM(270, 728) = 98280

GCD(270, 728) = ( 270 x 728 ) / 98280

= 270 / 728

= 270

Step2:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

So, Greatest Common Divisor of 270, 728, 822, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 531, 588, 936
• GCD of 163, 798, 116, 146
• GCD of 503, 383, 988, 343
• GCD of 454, 162, 346, 565
• GCD of 450, 970, 644, 937

Given numbers are 270, 728, 822, 764
The greatest common divisor of numbers 270, 728, 822, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 728, 822, 764 is 2.

1. What is the GCD of 270, 728, 822, 764?

GCD of given numbers 270, 728, 822, 764 is 2

2. How to calculate the greatest common divisor of 270, 728, 822, 764?

We can find the highest common divisor of 270, 728, 822, 764 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 270, 728, 822, 764 i.e 2.

3. How can I use the GCD of 270, 728, 822, 764Calculator?

Out the numbers 270, 728, 822, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.