GCD of 320, 905, 980, 538 Calculator

Given Input numbers are 320, 905, 980, 538

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

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 905 :

The positive integer divisors of 905 that completely divides 905 are.

1, 5, 181, 905

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (320, 905, 980, 538) = 1.

Given numbers are 320, 905, 980, 538

The list of prime factors of all numbers are

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

Prime factors of 905 are 5 x 181

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 538 are 2 x 269

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

Given numbers are 320, 905, 980, 538

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

Apply this formula for all numbers.

Step1:

LCM(320, 905) = 57920

GCD(320, 905) = ( 320 x 905 ) / 57920

= 320 / 905

= 320

Step2:

LCM(5, 980) = 980

GCD(5, 980) = ( 5 x 980 ) / 980

= 5 / 980

= 5

Step3:

LCM(5, 538) = 2690

GCD(5, 538) = ( 5 x 538 ) / 2690

= 5 / 538

= 5

So, Greatest Common Divisor of 320, 905, 980, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 320, 645, 302
• GCD of 420, 626, 501, 824
• GCD of 389, 474, 712, 622
• GCD of 437, 735, 744, 480
• GCD of 777, 448, 105, 447

Given numbers are 320, 905, 980, 538
The greatest common divisor of numbers 320, 905, 980, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 905, 980, 538 is 1.

1. What is the GCD of 320, 905, 980, 538?

GCD of given numbers 320, 905, 980, 538 is 1

2. How to calculate the greatest common divisor of 320, 905, 980, 538?

We can find the highest common divisor of 320, 905, 980, 538 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 320, 905, 980, 538 i.e 1.

3. How can I use the GCD of 320, 905, 980, 538Calculator?

Out the numbers 320, 905, 980, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.