GCD of 523, 138, 172, 383 Calculator

Given Input numbers are 523, 138, 172, 383

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

Divisors of 523 :

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

1, 523

Divisors of 138 :

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

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 383 :

The positive integer divisors of 383 that completely divides 383 are.

1, 383

GCD of numbers is the greatest common divisor

So, the GCD (523, 138, 172, 383) = 1.

Given numbers are 523, 138, 172, 383

The list of prime factors of all numbers are

Prime factors of 523 are 523

Prime factors of 138 are 2 x 3 x 23

Prime factors of 172 are 2 x 2 x 43

Prime factors of 383 are 383

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

Given numbers are 523, 138, 172, 383

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

Apply this formula for all numbers.

Step1:

LCM(523, 138) = 72174

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

= 523 / 138

= 523

Step2:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

Step3:

LCM(1, 383) = 383

GCD(1, 383) = ( 1 x 383 ) / 383

= 1 / 383

= 1

So, Greatest Common Divisor of 523, 138, 172, 383 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 811, 855, 818
• GCD of 594, 582, 378, 268
• GCD of 114, 389, 383, 707
• GCD of 827, 846, 552, 875
• GCD of 479, 567, 315, 952

Given numbers are 523, 138, 172, 383
The greatest common divisor of numbers 523, 138, 172, 383 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 523, 138, 172, 383 is 1.

1. What is the GCD of 523, 138, 172, 383?

GCD of given numbers 523, 138, 172, 383 is 1

2. How to calculate the greatest common divisor of 523, 138, 172, 383?

We can find the highest common divisor of 523, 138, 172, 383 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 523, 138, 172, 383 i.e 1.

3. How can I use the GCD of 523, 138, 172, 383Calculator?

Out the numbers 523, 138, 172, 383 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.