GCD of 408, 356, 380, 470 Calculator

Given Input numbers are 408, 356, 380, 470

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (408, 356, 380, 470) = 2.

Given numbers are 408, 356, 380, 470

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 356 are 2 x 2 x 89

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 408, 356, 380, 470 is 2.

Given numbers are 408, 356, 380, 470

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

Apply this formula for all numbers.

Step1:

LCM(408, 356) = 36312

GCD(408, 356) = ( 408 x 356 ) / 36312

= 408 / 356

= 408

Step2:

LCM(4, 380) = 380

GCD(4, 380) = ( 4 x 380 ) / 380

= 4 / 380

= 4

Step3:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4

So, Greatest Common Divisor of 408, 356, 380, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 942, 253, 789
• GCD of 360, 261, 770, 289
• GCD of 237, 212, 508, 815
• GCD of 860, 790, 641, 633
• GCD of 678, 463, 314, 226

Given numbers are 408, 356, 380, 470
The greatest common divisor of numbers 408, 356, 380, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 356, 380, 470 is 2.

1. What is the GCD of 408, 356, 380, 470?

GCD of given numbers 408, 356, 380, 470 is 2

2. How to calculate the greatest common divisor of 408, 356, 380, 470?

We can find the highest common divisor of 408, 356, 380, 470 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, 356, 380, 470 i.e 2.

3. How can I use the GCD of 408, 356, 380, 470Calculator?

Out the numbers 408, 356, 380, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.