GCD of 300, 138, 721, 793 Calculator

Given Input numbers are 300, 138, 721, 793

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 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 721 :

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

1, 7, 103, 721

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

GCD of numbers is the greatest common divisor

So, the GCD (300, 138, 721, 793) = 1.

Given numbers are 300, 138, 721, 793

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 138 are 2 x 3 x 23

Prime factors of 721 are 7 x 103

Prime factors of 793 are 13 x 61

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

Given numbers are 300, 138, 721, 793

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

Apply this formula for all numbers.

Step1:

LCM(300, 138) = 6900

GCD(300, 138) = ( 300 x 138 ) / 6900

= 300 / 138

= 300

Step2:

LCM(6, 721) = 4326

GCD(6, 721) = ( 6 x 721 ) / 4326

= 6 / 721

= 6

Step3:

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

= 1 / 793

= 1

So, Greatest Common Divisor of 300, 138, 721, 793 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 917, 889, 300
• GCD of 993, 994, 645, 575
• GCD of 697, 800, 790, 786
• GCD of 118, 228, 417, 104
• GCD of 819, 663, 951, 274

Given numbers are 300, 138, 721, 793
The greatest common divisor of numbers 300, 138, 721, 793 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 138, 721, 793 is 1.

1. What is the GCD of 300, 138, 721, 793?

GCD of given numbers 300, 138, 721, 793 is 1

2. How to calculate the greatest common divisor of 300, 138, 721, 793?

We can find the highest common divisor of 300, 138, 721, 793 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, 138, 721, 793 i.e 1.

3. How can I use the GCD of 300, 138, 721, 793Calculator?

Out the numbers 300, 138, 721, 793 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.