GCD of 123, 582, 230, 920 Calculator

Given Input numbers are 123, 582, 230, 920

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (123, 582, 230, 920) = 1.

Given numbers are 123, 582, 230, 920

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 582 are 2 x 3 x 97

Prime factors of 230 are 2 x 5 x 23

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 123, 582, 230, 920

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

Apply this formula for all numbers.

Step1:

LCM(123, 582) = 23862

GCD(123, 582) = ( 123 x 582 ) / 23862

= 123 / 582

= 123

Step2:

LCM(3, 230) = 690

GCD(3, 230) = ( 3 x 230 ) / 690

= 3 / 230

= 3

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 123, 582, 230, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 445, 169, 489, 621
• GCD of 702, 795, 570, 801
• GCD of 615, 159, 418, 503
• GCD of 152, 648, 880, 805
• GCD of 321, 674, 649, 802

Given numbers are 123, 582, 230, 920
The greatest common divisor of numbers 123, 582, 230, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 582, 230, 920 is 1.

1. What is the GCD of 123, 582, 230, 920?

GCD of given numbers 123, 582, 230, 920 is 1

2. How to calculate the greatest common divisor of 123, 582, 230, 920?

We can find the highest common divisor of 123, 582, 230, 920 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 123, 582, 230, 920 i.e 1.

3. How can I use the GCD of 123, 582, 230, 920Calculator?

Out the numbers 123, 582, 230, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.