GCD of 893, 360, 205, 828 Calculator

Given Input numbers are 893, 360, 205, 828

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

Divisors of 893 :

The positive integer divisors of 893 that completely divides 893 are.

1, 19, 47, 893

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 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

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

GCD of numbers is the greatest common divisor

So, the GCD (893, 360, 205, 828) = 1.

Given numbers are 893, 360, 205, 828

The list of prime factors of all numbers are

Prime factors of 893 are 19 x 47

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

Prime factors of 205 are 5 x 41

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

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

Given numbers are 893, 360, 205, 828

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

Apply this formula for all numbers.

Step1:

LCM(893, 360) = 321480

GCD(893, 360) = ( 893 x 360 ) / 321480

= 893 / 360

= 893

Step2:

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

= 1 / 205

= 1

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 893, 360, 205, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 100, 936, 683
• GCD of 173, 462, 525, 580
• GCD of 831, 694, 653, 464
• GCD of 257, 212, 128, 202
• GCD of 285, 900, 950, 313

Given numbers are 893, 360, 205, 828
The greatest common divisor of numbers 893, 360, 205, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 893, 360, 205, 828 is 1.

1. What is the GCD of 893, 360, 205, 828?

GCD of given numbers 893, 360, 205, 828 is 1

2. How to calculate the greatest common divisor of 893, 360, 205, 828?

We can find the highest common divisor of 893, 360, 205, 828 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 893, 360, 205, 828 i.e 1.

3. How can I use the GCD of 893, 360, 205, 828Calculator?

Out the numbers 893, 360, 205, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.