GCD of 309, 824, 365, 495 Calculator

Given Input numbers are 309, 824, 365, 495

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 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

GCD of numbers is the greatest common divisor

So, the GCD (309, 824, 365, 495) = 1.

Given numbers are 309, 824, 365, 495

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 365 are 5 x 73

Prime factors of 495 are 3 x 3 x 5 x 11

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

Given numbers are 309, 824, 365, 495

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

Apply this formula for all numbers.

Step1:

LCM(309, 824) = 2472

GCD(309, 824) = ( 309 x 824 ) / 2472

= 309 / 824

= 309

Step2:

LCM(103, 365) = 37595

GCD(103, 365) = ( 103 x 365 ) / 37595

= 103 / 365

= 103

Step3:

LCM(1, 495) = 495

GCD(1, 495) = ( 1 x 495 ) / 495

= 1 / 495

= 1

So, Greatest Common Divisor of 309, 824, 365, 495 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 505, 324, 316
• GCD of 601, 369, 378, 601
• GCD of 197, 988, 290, 797
• GCD of 886, 971, 560, 456
• GCD of 361, 254, 392, 821

Given numbers are 309, 824, 365, 495
The greatest common divisor of numbers 309, 824, 365, 495 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 824, 365, 495 is 1.

1. What is the GCD of 309, 824, 365, 495?

GCD of given numbers 309, 824, 365, 495 is 1

2. How to calculate the greatest common divisor of 309, 824, 365, 495?

We can find the highest common divisor of 309, 824, 365, 495 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, 824, 365, 495 i.e 1.

3. How can I use the GCD of 309, 824, 365, 495Calculator?

Out the numbers 309, 824, 365, 495 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.