GCD of 138, 522, 29, 414 Calculator

Given Input numbers are 138, 522, 29, 414

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 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 29 :

The positive integer divisors of 29 that completely divides 29 are.

1, 29

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (138, 522, 29, 414) = 1.

Given numbers are 138, 522, 29, 414

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 29 are 29

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 138, 522, 29, 414

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

Apply this formula for all numbers.

Step1:

LCM(138, 522) = 12006

GCD(138, 522) = ( 138 x 522 ) / 12006

= 138 / 522

= 138

Step2:

LCM(6, 29) = 174

GCD(6, 29) = ( 6 x 29 ) / 174

= 6 / 29

= 6

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 138, 522, 29, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 322, 63, 402
• GCD of 803, 905, 35, 867
• GCD of 693, 360, 55, 185
• GCD of 521, 829, 86, 835
• GCD of 385, 107, 43, 422

Given numbers are 138, 522, 29, 414
The greatest common divisor of numbers 138, 522, 29, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 522, 29, 414 is 1.

1. What is the GCD of 138, 522, 29, 414?

GCD of given numbers 138, 522, 29, 414 is 1

2. How to calculate the greatest common divisor of 138, 522, 29, 414?

We can find the highest common divisor of 138, 522, 29, 414 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, 522, 29, 414 i.e 1.

3. How can I use the GCD of 138, 522, 29, 414Calculator?

Out the numbers 138, 522, 29, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.