GCD of 510, 825, 396, 417 Calculator

Given Input numbers are 510, 825, 396, 417

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

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

GCD of numbers is the greatest common divisor

So, the GCD (510, 825, 396, 417) = 3.

Given numbers are 510, 825, 396, 417

The list of prime factors of all numbers are

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 417 are 3 x 139

The highest common occurrence is 3¹

Therefore, GCD of 510, 825, 396, 417 is 3.

Given numbers are 510, 825, 396, 417

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

Apply this formula for all numbers.

Step1:

LCM(510, 825) = 28050

GCD(510, 825) = ( 510 x 825 ) / 28050

= 510 / 825

= 510

Step2:

LCM(15, 396) = 1980

GCD(15, 396) = ( 15 x 396 ) / 1980

= 15 / 396

= 15

Step3:

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

= 3 / 417

= 3

So, Greatest Common Divisor of 510, 825, 396, 417 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 763, 765, 727
• GCD of 843, 363, 882, 213
• GCD of 437, 432, 305, 142
• GCD of 157, 768, 727, 468
• GCD of 984, 134, 932, 916

Given numbers are 510, 825, 396, 417
The greatest common divisor of numbers 510, 825, 396, 417 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 825, 396, 417 is 3.

1. What is the GCD of 510, 825, 396, 417?

GCD of given numbers 510, 825, 396, 417 is 3

2. How to calculate the greatest common divisor of 510, 825, 396, 417?

We can find the highest common divisor of 510, 825, 396, 417 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 510, 825, 396, 417 i.e 3.

3. How can I use the GCD of 510, 825, 396, 417Calculator?

Out the numbers 510, 825, 396, 417 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.