GCD of 108, 164, 418, 290 Calculator

Given Input numbers are 108, 164, 418, 290

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 164 :

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

1, 2, 4, 41, 82, 164

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

GCD of numbers is the greatest common divisor

So, the GCD (108, 164, 418, 290) = 2.

Given numbers are 108, 164, 418, 290

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 164 are 2 x 2 x 41

Prime factors of 418 are 2 x 11 x 19

Prime factors of 290 are 2 x 5 x 29

The highest common occurrence is 2¹

Therefore, GCD of 108, 164, 418, 290 is 2.

Given numbers are 108, 164, 418, 290

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

Apply this formula for all numbers.

Step1:

LCM(108, 164) = 4428

GCD(108, 164) = ( 108 x 164 ) / 4428

= 108 / 164

= 108

Step2:

LCM(4, 418) = 836

GCD(4, 418) = ( 4 x 418 ) / 836

= 4 / 418

= 4

Step3:

LCM(2, 290) = 290

GCD(2, 290) = ( 2 x 290 ) / 290

= 2 / 290

= 2

So, Greatest Common Divisor of 108, 164, 418, 290 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 968, 252, 299
• GCD of 675, 655, 591, 537
• GCD of 857, 519, 794, 596
• GCD of 956, 964, 728, 394
• GCD of 548, 670, 977, 411

Given numbers are 108, 164, 418, 290
The greatest common divisor of numbers 108, 164, 418, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 164, 418, 290 is 2.

1. What is the GCD of 108, 164, 418, 290?

GCD of given numbers 108, 164, 418, 290 is 2

2. How to calculate the greatest common divisor of 108, 164, 418, 290?

We can find the highest common divisor of 108, 164, 418, 290 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 108, 164, 418, 290 i.e 2.

3. How can I use the GCD of 108, 164, 418, 290Calculator?

Out the numbers 108, 164, 418, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.