GCD of 990, 506, 251, 123 Calculator

Given Input numbers are 990, 506, 251, 123

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251

Divisors of 123 :

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

1, 3, 41, 123

GCD of numbers is the greatest common divisor

So, the GCD (990, 506, 251, 123) = 1.

Given numbers are 990, 506, 251, 123

The list of prime factors of all numbers are

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 506 are 2 x 11 x 23

Prime factors of 251 are 251

Prime factors of 123 are 3 x 41

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

Given numbers are 990, 506, 251, 123

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

Apply this formula for all numbers.

Step1:

LCM(990, 506) = 22770

GCD(990, 506) = ( 990 x 506 ) / 22770

= 990 / 506

= 990

Step2:

LCM(22, 251) = 5522

GCD(22, 251) = ( 22 x 251 ) / 5522

= 22 / 251

= 22

Step3:

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

= 1 / 123

= 1

So, Greatest Common Divisor of 990, 506, 251, 123 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 786, 817, 737
• GCD of 494, 199, 394, 991
• GCD of 196, 474, 538, 752
• GCD of 807, 173, 342, 849
• GCD of 339, 780, 761, 834

Given numbers are 990, 506, 251, 123
The greatest common divisor of numbers 990, 506, 251, 123 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 506, 251, 123 is 1.

1. What is the GCD of 990, 506, 251, 123?

GCD of given numbers 990, 506, 251, 123 is 1

2. How to calculate the greatest common divisor of 990, 506, 251, 123?

We can find the highest common divisor of 990, 506, 251, 123 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 990, 506, 251, 123 i.e 1.

3. How can I use the GCD of 990, 506, 251, 123Calculator?

Out the numbers 990, 506, 251, 123 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.