GCD of 309, 755, 915, 324 Calculator

Given Input numbers are 309, 755, 915, 324

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 915 :

The positive integer divisors of 915 that completely divides 915 are.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (309, 755, 915, 324) = 1.

Given numbers are 309, 755, 915, 324

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 755 are 5 x 151

Prime factors of 915 are 3 x 5 x 61

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

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

Given numbers are 309, 755, 915, 324

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

Apply this formula for all numbers.

Step1:

LCM(309, 755) = 233295

GCD(309, 755) = ( 309 x 755 ) / 233295

= 309 / 755

= 309

Step2:

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

= 1 / 915

= 1

Step3:

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

= 1 / 324

= 1

So, Greatest Common Divisor of 309, 755, 915, 324 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 918, 299, 238
• GCD of 940, 796, 586, 581
• GCD of 533, 917, 742, 641
• GCD of 556, 579, 763, 735
• GCD of 317, 942, 143, 803

Given numbers are 309, 755, 915, 324
The greatest common divisor of numbers 309, 755, 915, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 755, 915, 324 is 1.

1. What is the GCD of 309, 755, 915, 324?

GCD of given numbers 309, 755, 915, 324 is 1

2. How to calculate the greatest common divisor of 309, 755, 915, 324?

We can find the highest common divisor of 309, 755, 915, 324 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 309, 755, 915, 324 i.e 1.

3. How can I use the GCD of 309, 755, 915, 324Calculator?

Out the numbers 309, 755, 915, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.