GCD of 408, 550, 420, 326 Calculator

Given Input numbers are 408, 550, 420, 326

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 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

GCD of numbers is the greatest common divisor

So, the GCD (408, 550, 420, 326) = 2.

Given numbers are 408, 550, 420, 326

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 550 are 2 x 5 x 5 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 326 are 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 408, 550, 420, 326 is 2.

Given numbers are 408, 550, 420, 326

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

Apply this formula for all numbers.

Step1:

LCM(408, 550) = 112200

GCD(408, 550) = ( 408 x 550 ) / 112200

= 408 / 550

= 408

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

= 2 / 326

= 2

So, Greatest Common Divisor of 408, 550, 420, 326 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 778, 476, 527, 354
• GCD of 147, 140, 342, 983
• GCD of 509, 393, 182, 248
• GCD of 734, 745, 903, 335
• GCD of 188, 754, 717, 754

Given numbers are 408, 550, 420, 326
The greatest common divisor of numbers 408, 550, 420, 326 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 550, 420, 326 is 2.

1. What is the GCD of 408, 550, 420, 326?

GCD of given numbers 408, 550, 420, 326 is 2

2. How to calculate the greatest common divisor of 408, 550, 420, 326?

We can find the highest common divisor of 408, 550, 420, 326 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, 550, 420, 326 i.e 2.

3. How can I use the GCD of 408, 550, 420, 326Calculator?

Out the numbers 408, 550, 420, 326 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.