GCD of 380, 208, 821, 408 Calculator

Given Input numbers are 380, 208, 821, 408

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

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

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

GCD of numbers is the greatest common divisor

So, the GCD (380, 208, 821, 408) = 1.

Given numbers are 380, 208, 821, 408

The list of prime factors of all numbers are

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

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 821 are 821

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 380, 208, 821, 408

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

Apply this formula for all numbers.

Step1:

LCM(380, 208) = 19760

GCD(380, 208) = ( 380 x 208 ) / 19760

= 380 / 208

= 380

Step2:

LCM(4, 821) = 3284

GCD(4, 821) = ( 4 x 821 ) / 3284

= 4 / 821

= 4

Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

So, Greatest Common Divisor of 380, 208, 821, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 326, 838, 797
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Given numbers are 380, 208, 821, 408
The greatest common divisor of numbers 380, 208, 821, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 208, 821, 408 is 1.

1. What is the GCD of 380, 208, 821, 408?

GCD of given numbers 380, 208, 821, 408 is 1

2. How to calculate the greatest common divisor of 380, 208, 821, 408?

We can find the highest common divisor of 380, 208, 821, 408 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 380, 208, 821, 408 i.e 1.

3. How can I use the GCD of 380, 208, 821, 408Calculator?

Out the numbers 380, 208, 821, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.