GCD of 138, 590, 406, 929 Calculator

Given Input numbers are 138, 590, 406, 929

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 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 406 :

The positive integer divisors of 406 that completely divides 406 are.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 929 :

The positive integer divisors of 929 that completely divides 929 are.

1, 929

GCD of numbers is the greatest common divisor

So, the GCD (138, 590, 406, 929) = 1.

Given numbers are 138, 590, 406, 929

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 590 are 2 x 5 x 59

Prime factors of 406 are 2 x 7 x 29

Prime factors of 929 are 929

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

Given numbers are 138, 590, 406, 929

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

Apply this formula for all numbers.

Step1:

LCM(138, 590) = 40710

GCD(138, 590) = ( 138 x 590 ) / 40710

= 138 / 590

= 138

Step2:

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

= 2 / 406

= 2

Step3:

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

= 2 / 929

= 2

So, Greatest Common Divisor of 138, 590, 406, 929 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 265, 311, 231, 105
• GCD of 667, 574, 670, 816
• GCD of 540, 679, 125, 252
• GCD of 280, 504, 974, 736
• GCD of 620, 389, 629, 511

Given numbers are 138, 590, 406, 929
The greatest common divisor of numbers 138, 590, 406, 929 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 590, 406, 929 is 1.

1. What is the GCD of 138, 590, 406, 929?

GCD of given numbers 138, 590, 406, 929 is 1

2. How to calculate the greatest common divisor of 138, 590, 406, 929?

We can find the highest common divisor of 138, 590, 406, 929 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, 590, 406, 929 i.e 1.

3. How can I use the GCD of 138, 590, 406, 929Calculator?

Out the numbers 138, 590, 406, 929 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.