GCD of 408, 390, 350, 182 Calculator

Given Input numbers are 408, 390, 350, 182

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

GCD of numbers is the greatest common divisor

So, the GCD (408, 390, 350, 182) = 2.

Given numbers are 408, 390, 350, 182

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 390 are 2 x 3 x 5 x 13

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 182 are 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 408, 390, 350, 182 is 2.

Given numbers are 408, 390, 350, 182

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

Apply this formula for all numbers.

Step1:

LCM(408, 390) = 26520

GCD(408, 390) = ( 408 x 390 ) / 26520

= 408 / 390

= 408

Step2:

LCM(6, 350) = 1050

GCD(6, 350) = ( 6 x 350 ) / 1050

= 6 / 350

= 6

Step3:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

So, Greatest Common Divisor of 408, 390, 350, 182 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 310, 908, 760
• GCD of 621, 930, 244, 896
• GCD of 618, 904, 511, 600
• GCD of 940, 459, 344, 413
• GCD of 769, 204, 864, 543

Given numbers are 408, 390, 350, 182
The greatest common divisor of numbers 408, 390, 350, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 390, 350, 182 is 2.

1. What is the GCD of 408, 390, 350, 182?

GCD of given numbers 408, 390, 350, 182 is 2

2. How to calculate the greatest common divisor of 408, 390, 350, 182?

We can find the highest common divisor of 408, 390, 350, 182 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, 390, 350, 182 i.e 2.

3. How can I use the GCD of 408, 390, 350, 182Calculator?

Out the numbers 408, 390, 350, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.