GCD of 828, 360, 970, 227 Calculator

Given Input numbers are 828, 360, 970, 227

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 227 :

The positive integer divisors of 227 that completely divides 227 are.

1, 227

GCD of numbers is the greatest common divisor

So, the GCD (828, 360, 970, 227) = 1.

Given numbers are 828, 360, 970, 227

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 970 are 2 x 5 x 97

Prime factors of 227 are 227

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 828, 360, 970, 227

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

Apply this formula for all numbers.

Step1:

LCM(828, 360) = 8280

GCD(828, 360) = ( 828 x 360 ) / 8280

= 828 / 360

= 828

Step2:

LCM(36, 970) = 17460

GCD(36, 970) = ( 36 x 970 ) / 17460

= 36 / 970

= 36

Step3:

LCM(2, 227) = 454

GCD(2, 227) = ( 2 x 227 ) / 454

= 2 / 227

= 2

So, Greatest Common Divisor of 828, 360, 970, 227 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 582, 145, 175
• GCD of 204, 115, 726, 943
• GCD of 522, 488, 496, 911
• GCD of 294, 735, 611, 378
• GCD of 534, 770, 257, 311

Given numbers are 828, 360, 970, 227
The greatest common divisor of numbers 828, 360, 970, 227 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 360, 970, 227 is 1.

1. What is the GCD of 828, 360, 970, 227?

GCD of given numbers 828, 360, 970, 227 is 1

2. How to calculate the greatest common divisor of 828, 360, 970, 227?

We can find the highest common divisor of 828, 360, 970, 227 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 828, 360, 970, 227 i.e 1.

3. How can I use the GCD of 828, 360, 970, 227Calculator?

Out the numbers 828, 360, 970, 227 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.