GCD of 123, 811, 820, 998 Calculator

Given Input numbers are 123, 811, 820, 998

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 811 :

The positive integer divisors of 811 that completely divides 811 are.

1, 811

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (123, 811, 820, 998) = 1.

Given numbers are 123, 811, 820, 998

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 811 are 811

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 998 are 2 x 499

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

Given numbers are 123, 811, 820, 998

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

Apply this formula for all numbers.

Step1:

LCM(123, 811) = 99753

GCD(123, 811) = ( 123 x 811 ) / 99753

= 123 / 811

= 123

Step2:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 123, 811, 820, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 973, 646, 910
• GCD of 430, 467, 419, 244
• GCD of 202, 522, 265, 602
• GCD of 807, 506, 825, 955
• GCD of 635, 809, 167, 235

Given numbers are 123, 811, 820, 998
The greatest common divisor of numbers 123, 811, 820, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 811, 820, 998 is 1.

1. What is the GCD of 123, 811, 820, 998?

GCD of given numbers 123, 811, 820, 998 is 1

2. How to calculate the greatest common divisor of 123, 811, 820, 998?

We can find the highest common divisor of 123, 811, 820, 998 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, 811, 820, 998 i.e 1.

3. How can I use the GCD of 123, 811, 820, 998Calculator?

Out the numbers 123, 811, 820, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.