GCD of 320, 956, 542, 309 Calculator

Given Input numbers are 320, 956, 542, 309

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 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (320, 956, 542, 309) = 1.

Given numbers are 320, 956, 542, 309

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 956 are 2 x 2 x 239

Prime factors of 542 are 2 x 271

Prime factors of 309 are 3 x 103

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

Given numbers are 320, 956, 542, 309

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

Apply this formula for all numbers.

Step1:

LCM(320, 956) = 76480

GCD(320, 956) = ( 320 x 956 ) / 76480

= 320 / 956

= 320

Step2:

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

= 4 / 542

= 4

Step3:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

So, Greatest Common Divisor of 320, 956, 542, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 142, 865, 472
• GCD of 838, 772, 680, 678
• GCD of 253, 383, 320, 194
• GCD of 690, 823, 136, 270
• GCD of 528, 810, 980, 137

Given numbers are 320, 956, 542, 309
The greatest common divisor of numbers 320, 956, 542, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 956, 542, 309 is 1.

1. What is the GCD of 320, 956, 542, 309?

GCD of given numbers 320, 956, 542, 309 is 1

2. How to calculate the greatest common divisor of 320, 956, 542, 309?

We can find the highest common divisor of 320, 956, 542, 309 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, 956, 542, 309 i.e 1.

3. How can I use the GCD of 320, 956, 542, 309Calculator?

Out the numbers 320, 956, 542, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.