GCD of 138, 523, 855, 856 Calculator

Given Input numbers are 138, 523, 855, 856

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 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

GCD of numbers is the greatest common divisor

So, the GCD (138, 523, 855, 856) = 1.

Given numbers are 138, 523, 855, 856

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 523 are 523

Prime factors of 855 are 3 x 3 x 5 x 19

Prime factors of 856 are 2 x 2 x 2 x 107

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

Given numbers are 138, 523, 855, 856

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

Apply this formula for all numbers.

Step1:

LCM(138, 523) = 72174

GCD(138, 523) = ( 138 x 523 ) / 72174

= 138 / 523

= 138

Step2:

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

= 1 / 855

= 1

Step3:

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

= 1 / 856

= 1

So, Greatest Common Divisor of 138, 523, 855, 856 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 268, 941, 642
• GCD of 582, 703, 955, 377
• GCD of 733, 986, 630, 806
• GCD of 661, 818, 279, 932
• GCD of 737, 715, 546, 286

Given numbers are 138, 523, 855, 856
The greatest common divisor of numbers 138, 523, 855, 856 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 523, 855, 856 is 1.

1. What is the GCD of 138, 523, 855, 856?

GCD of given numbers 138, 523, 855, 856 is 1

2. How to calculate the greatest common divisor of 138, 523, 855, 856?

We can find the highest common divisor of 138, 523, 855, 856 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, 523, 855, 856 i.e 1.

3. How can I use the GCD of 138, 523, 855, 856Calculator?

Out the numbers 138, 523, 855, 856 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.