GCD of 328, 400, 544, 109 Calculator

Given Input numbers are 328, 400, 544, 109

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

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (328, 400, 544, 109) = 1.

Given numbers are 328, 400, 544, 109

The list of prime factors of all numbers are

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 109 are 109

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

Given numbers are 328, 400, 544, 109

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

Apply this formula for all numbers.

Step1:

LCM(328, 400) = 16400

GCD(328, 400) = ( 328 x 400 ) / 16400

= 328 / 400

= 328

Step2:

LCM(8, 544) = 544

GCD(8, 544) = ( 8 x 544 ) / 544

= 8 / 544

= 8

Step3:

LCM(8, 109) = 872

GCD(8, 109) = ( 8 x 109 ) / 872

= 8 / 109

= 8

So, Greatest Common Divisor of 328, 400, 544, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 921, 509, 429
• GCD of 763, 881, 284, 245
• GCD of 411, 843, 992, 172
• GCD of 985, 148, 968, 950
• GCD of 184, 212, 324, 667

Given numbers are 328, 400, 544, 109
The greatest common divisor of numbers 328, 400, 544, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 400, 544, 109 is 1.

1. What is the GCD of 328, 400, 544, 109?

GCD of given numbers 328, 400, 544, 109 is 1

2. How to calculate the greatest common divisor of 328, 400, 544, 109?

We can find the highest common divisor of 328, 400, 544, 109 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 328, 400, 544, 109 i.e 1.

3. How can I use the GCD of 328, 400, 544, 109Calculator?

Out the numbers 328, 400, 544, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.