GCD of 315, 369, 510, 827 Calculator

Given Input numbers are 315, 369, 510, 827

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

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 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

GCD of numbers is the greatest common divisor

So, the GCD (315, 369, 510, 827) = 1.

Given numbers are 315, 369, 510, 827

The list of prime factors of all numbers are

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

Prime factors of 369 are 3 x 3 x 41

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 827 are 827

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

Given numbers are 315, 369, 510, 827

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

Apply this formula for all numbers.

Step1:

LCM(315, 369) = 12915

GCD(315, 369) = ( 315 x 369 ) / 12915

= 315 / 369

= 315

Step2:

LCM(9, 510) = 1530

GCD(9, 510) = ( 9 x 510 ) / 1530

= 9 / 510

= 9

Step3:

LCM(3, 827) = 2481

GCD(3, 827) = ( 3 x 827 ) / 2481

= 3 / 827

= 3

So, Greatest Common Divisor of 315, 369, 510, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 457, 640, 673
• GCD of 566, 124, 343, 497
• GCD of 336, 604, 211, 816
• GCD of 417, 953, 244, 394
• GCD of 177, 607, 692, 422

Given numbers are 315, 369, 510, 827
The greatest common divisor of numbers 315, 369, 510, 827 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 369, 510, 827 is 1.

1. What is the GCD of 315, 369, 510, 827?

GCD of given numbers 315, 369, 510, 827 is 1

2. How to calculate the greatest common divisor of 315, 369, 510, 827?

We can find the highest common divisor of 315, 369, 510, 827 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 315, 369, 510, 827 i.e 1.

3. How can I use the GCD of 315, 369, 510, 827Calculator?

Out the numbers 315, 369, 510, 827 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.