GCD of 109, 359, 190, 364 Calculator

Given Input numbers are 109, 359, 190, 364

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

Divisors of 109 :

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

1, 109

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

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

GCD of numbers is the greatest common divisor

So, the GCD (109, 359, 190, 364) = 1.

Given numbers are 109, 359, 190, 364

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 359 are 359

Prime factors of 190 are 2 x 5 x 19

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

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

Given numbers are 109, 359, 190, 364

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

Apply this formula for all numbers.

Step1:

LCM(109, 359) = 39131

GCD(109, 359) = ( 109 x 359 ) / 39131

= 109 / 359

= 109

Step2:

LCM(1, 190) = 190

GCD(1, 190) = ( 1 x 190 ) / 190

= 1 / 190

= 1

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 109, 359, 190, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 831, 448, 540
• GCD of 695, 811, 618, 567
• GCD of 229, 538, 239, 151
• GCD of 680, 330, 444, 206
• GCD of 229, 385, 613, 403

Given numbers are 109, 359, 190, 364
The greatest common divisor of numbers 109, 359, 190, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 359, 190, 364 is 1.

1. What is the GCD of 109, 359, 190, 364?

GCD of given numbers 109, 359, 190, 364 is 1

2. How to calculate the greatest common divisor of 109, 359, 190, 364?

We can find the highest common divisor of 109, 359, 190, 364 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 109, 359, 190, 364 i.e 1.

3. How can I use the GCD of 109, 359, 190, 364Calculator?

Out the numbers 109, 359, 190, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.