GCD of 408, 188, 352, 138 Calculator

Given Input numbers are 408, 188, 352, 138

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (408, 188, 352, 138) = 2.

Given numbers are 408, 188, 352, 138

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 188 are 2 x 2 x 47

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 408, 188, 352, 138 is 2.

Given numbers are 408, 188, 352, 138

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

Apply this formula for all numbers.

Step1:

LCM(408, 188) = 19176

GCD(408, 188) = ( 408 x 188 ) / 19176

= 408 / 188

= 408

Step2:

LCM(4, 352) = 352

GCD(4, 352) = ( 4 x 352 ) / 352

= 4 / 352

= 4

Step3:

LCM(4, 138) = 276

GCD(4, 138) = ( 4 x 138 ) / 276

= 4 / 138

= 4

So, Greatest Common Divisor of 408, 188, 352, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 516, 266, 805
• GCD of 835, 374, 393, 341
• GCD of 965, 925, 761, 216
• GCD of 694, 541, 743, 398
• GCD of 479, 778, 254, 416

Given numbers are 408, 188, 352, 138
The greatest common divisor of numbers 408, 188, 352, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 188, 352, 138 is 2.

1. What is the GCD of 408, 188, 352, 138?

GCD of given numbers 408, 188, 352, 138 is 2

2. How to calculate the greatest common divisor of 408, 188, 352, 138?

We can find the highest common divisor of 408, 188, 352, 138 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 408, 188, 352, 138 i.e 2.

3. How can I use the GCD of 408, 188, 352, 138Calculator?

Out the numbers 408, 188, 352, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.