GCD of 378, 364, 218, 409 Calculator

Given Input numbers are 378, 364, 218, 409

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

GCD of numbers is the greatest common divisor

So, the GCD (378, 364, 218, 409) = 1.

Given numbers are 378, 364, 218, 409

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 218 are 2 x 109

Prime factors of 409 are 409

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

Given numbers are 378, 364, 218, 409

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

Apply this formula for all numbers.

Step1:

LCM(378, 364) = 9828

GCD(378, 364) = ( 378 x 364 ) / 9828

= 378 / 364

= 378

Step2:

LCM(14, 218) = 1526

GCD(14, 218) = ( 14 x 218 ) / 1526

= 14 / 218

= 14

Step3:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

So, Greatest Common Divisor of 378, 364, 218, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 387, 902, 144
• GCD of 666, 434, 310, 512
• GCD of 171, 925, 474, 803
• GCD of 231, 158, 165, 628
• GCD of 773, 486, 853, 248

Given numbers are 378, 364, 218, 409
The greatest common divisor of numbers 378, 364, 218, 409 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 364, 218, 409 is 1.

1. What is the GCD of 378, 364, 218, 409?

GCD of given numbers 378, 364, 218, 409 is 1

2. How to calculate the greatest common divisor of 378, 364, 218, 409?

We can find the highest common divisor of 378, 364, 218, 409 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 378, 364, 218, 409 i.e 1.

3. How can I use the GCD of 378, 364, 218, 409Calculator?

Out the numbers 378, 364, 218, 409 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.