GCD of 109, 320, 360, 128 Calculator

Given Input numbers are 109, 320, 360, 128

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

GCD of numbers is the greatest common divisor

So, the GCD (109, 320, 360, 128) = 1.

Given numbers are 109, 320, 360, 128

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

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

Given numbers are 109, 320, 360, 128

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

Apply this formula for all numbers.

Step1:

LCM(109, 320) = 34880

GCD(109, 320) = ( 109 x 320 ) / 34880

= 109 / 320

= 109

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

= 1 / 128

= 1

So, Greatest Common Divisor of 109, 320, 360, 128 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 988, 521, 128
• GCD of 983, 922, 572, 885
• GCD of 749, 781, 504, 368
• GCD of 885, 881, 287, 790
• GCD of 161, 715, 822, 428

Given numbers are 109, 320, 360, 128
The greatest common divisor of numbers 109, 320, 360, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 320, 360, 128 is 1.

1. What is the GCD of 109, 320, 360, 128?

GCD of given numbers 109, 320, 360, 128 is 1

2. How to calculate the greatest common divisor of 109, 320, 360, 128?

We can find the highest common divisor of 109, 320, 360, 128 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, 320, 360, 128 i.e 1.

3. How can I use the GCD of 109, 320, 360, 128Calculator?

Out the numbers 109, 320, 360, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.