GCD of 823, 180, 225, 660 Calculator

Given Input numbers are 823, 180, 225, 660

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

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (823, 180, 225, 660) = 1.

Given numbers are 823, 180, 225, 660

The list of prime factors of all numbers are

Prime factors of 823 are 823

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Given numbers are 823, 180, 225, 660

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

Apply this formula for all numbers.

Step1:

LCM(823, 180) = 148140

GCD(823, 180) = ( 823 x 180 ) / 148140

= 823 / 180

= 823

Step2:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 823, 180, 225, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 940, 851, 810
• GCD of 918, 228, 327, 817
• GCD of 782, 291, 863, 253
• GCD of 485, 657, 827, 684
• GCD of 111, 583, 615, 448

Given numbers are 823, 180, 225, 660
The greatest common divisor of numbers 823, 180, 225, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 823, 180, 225, 660 is 1.

1. What is the GCD of 823, 180, 225, 660?

GCD of given numbers 823, 180, 225, 660 is 1

2. How to calculate the greatest common divisor of 823, 180, 225, 660?

We can find the highest common divisor of 823, 180, 225, 660 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 823, 180, 225, 660 i.e 1.

3. How can I use the GCD of 823, 180, 225, 660Calculator?

Out the numbers 823, 180, 225, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.