GCD of 300, 123, 721, 491 Calculator

Given Input numbers are 300, 123, 721, 491

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 123 :

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

1, 3, 41, 123

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

GCD of numbers is the greatest common divisor

So, the GCD (300, 123, 721, 491) = 1.

Given numbers are 300, 123, 721, 491

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 123 are 3 x 41

Prime factors of 721 are 7 x 103

Prime factors of 491 are 491

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

Given numbers are 300, 123, 721, 491

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

Apply this formula for all numbers.

Step1:

LCM(300, 123) = 12300

GCD(300, 123) = ( 300 x 123 ) / 12300

= 300 / 123

= 300

Step2:

LCM(3, 721) = 2163

GCD(3, 721) = ( 3 x 721 ) / 2163

= 3 / 721

= 3

Step3:

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

= 1 / 491

= 1

So, Greatest Common Divisor of 300, 123, 721, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 856, 124, 378
• GCD of 467, 676, 156, 965
• GCD of 642, 554, 928, 932
• GCD of 656, 397, 107, 203
• GCD of 148, 514, 690, 332

Given numbers are 300, 123, 721, 491
The greatest common divisor of numbers 300, 123, 721, 491 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 123, 721, 491 is 1.

1. What is the GCD of 300, 123, 721, 491?

GCD of given numbers 300, 123, 721, 491 is 1

2. How to calculate the greatest common divisor of 300, 123, 721, 491?

We can find the highest common divisor of 300, 123, 721, 491 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 300, 123, 721, 491 i.e 1.

3. How can I use the GCD of 300, 123, 721, 491Calculator?

Out the numbers 300, 123, 721, 491 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.