GCD of 138, 300, 596, 681 Calculator

Given Input numbers are 138, 300, 596, 681

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

Divisors of 138 :

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

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

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 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

GCD of numbers is the greatest common divisor

So, the GCD (138, 300, 596, 681) = 1.

Given numbers are 138, 300, 596, 681

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

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

Prime factors of 596 are 2 x 2 x 149

Prime factors of 681 are 3 x 227

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

Given numbers are 138, 300, 596, 681

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

Apply this formula for all numbers.

Step1:

LCM(138, 300) = 6900

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

= 138 / 300

= 138

Step2:

LCM(6, 596) = 1788

GCD(6, 596) = ( 6 x 596 ) / 1788

= 6 / 596

= 6

Step3:

LCM(2, 681) = 1362

GCD(2, 681) = ( 2 x 681 ) / 1362

= 2 / 681

= 2

So, Greatest Common Divisor of 138, 300, 596, 681 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 606, 371, 818, 345
• GCD of 999, 302, 219, 882
• GCD of 223, 111, 387, 773
• GCD of 991, 339, 343, 457
• GCD of 525, 856, 301, 531

Given numbers are 138, 300, 596, 681
The greatest common divisor of numbers 138, 300, 596, 681 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 300, 596, 681 is 1.

1. What is the GCD of 138, 300, 596, 681?

GCD of given numbers 138, 300, 596, 681 is 1

2. How to calculate the greatest common divisor of 138, 300, 596, 681?

We can find the highest common divisor of 138, 300, 596, 681 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 138, 300, 596, 681 i.e 1.

3. How can I use the GCD of 138, 300, 596, 681Calculator?

Out the numbers 138, 300, 596, 681 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.