GCD of 138, 478, 164, 404 Calculator

Given Input numbers are 138, 478, 164, 404

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

GCD of numbers is the greatest common divisor

So, the GCD (138, 478, 164, 404) = 2.

Given numbers are 138, 478, 164, 404

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 478 are 2 x 239

Prime factors of 164 are 2 x 2 x 41

Prime factors of 404 are 2 x 2 x 101

The highest common occurrence is 2¹

Therefore, GCD of 138, 478, 164, 404 is 2.

Given numbers are 138, 478, 164, 404

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

Apply this formula for all numbers.

Step1:

LCM(138, 478) = 32982

GCD(138, 478) = ( 138 x 478 ) / 32982

= 138 / 478

= 138

Step2:

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

= 2 / 164

= 2

Step3:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

So, Greatest Common Divisor of 138, 478, 164, 404 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 361, 787, 759
• GCD of 155, 384, 889, 653
• GCD of 406, 242, 801, 976
• GCD of 474, 307, 479, 231
• GCD of 374, 782, 711, 289

Given numbers are 138, 478, 164, 404
The greatest common divisor of numbers 138, 478, 164, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 478, 164, 404 is 2.

1. What is the GCD of 138, 478, 164, 404?

GCD of given numbers 138, 478, 164, 404 is 2

2. How to calculate the greatest common divisor of 138, 478, 164, 404?

We can find the highest common divisor of 138, 478, 164, 404 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, 478, 164, 404 i.e 2.

3. How can I use the GCD of 138, 478, 164, 404Calculator?

Out the numbers 138, 478, 164, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.