GCD of 342, 315, 915, 824 Calculator

Given Input numbers are 342, 315, 915, 824

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 915 :

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

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

Divisors of 824 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (342, 315, 915, 824) = 1.

Given numbers are 342, 315, 915, 824

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 915 are 3 x 5 x 61

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

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

Given numbers are 342, 315, 915, 824

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

Apply this formula for all numbers.

Step1:

LCM(342, 315) = 11970

GCD(342, 315) = ( 342 x 315 ) / 11970

= 342 / 315

= 342

Step2:

LCM(9, 915) = 2745

GCD(9, 915) = ( 9 x 915 ) / 2745

= 9 / 915

= 9

Step3:

LCM(3, 824) = 2472

GCD(3, 824) = ( 3 x 824 ) / 2472

= 3 / 824

= 3

So, Greatest Common Divisor of 342, 315, 915, 824 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 393, 143, 210
• GCD of 612, 118, 621, 289
• GCD of 917, 531, 141, 500
• GCD of 944, 388, 792, 106
• GCD of 746, 679, 891, 272

Given numbers are 342, 315, 915, 824
The greatest common divisor of numbers 342, 315, 915, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 315, 915, 824 is 1.

1. What is the GCD of 342, 315, 915, 824?

GCD of given numbers 342, 315, 915, 824 is 1

2. How to calculate the greatest common divisor of 342, 315, 915, 824?

We can find the highest common divisor of 342, 315, 915, 824 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 342, 315, 915, 824 i.e 1.

3. How can I use the GCD of 342, 315, 915, 824Calculator?

Out the numbers 342, 315, 915, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.