GCD of 825, 172, 510 Calculator

Given Input numbers are 825, 172, 510

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

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 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

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

GCD of numbers is the greatest common divisor

So, the GCD (825, 172, 510) = 1.

Given numbers are 825, 172, 510

The list of prime factors of all numbers are

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

Prime factors of 172 are 2 x 2 x 43

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

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

Given numbers are 825, 172, 510

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

Apply this formula for all numbers.

Step1:

LCM(825, 172) = 141900

GCD(825, 172) = ( 825 x 172 ) / 141900

= 825 / 172

= 825

Step2:

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

= 1 / 510

= 1

So, Greatest Common Divisor of 825, 172, 510 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 814, 648
• GCD of 932, 551, 607
• GCD of 228, 371, 985
• GCD of 208, 180, 727
• GCD of 161, 664, 970

Given numbers are 825, 172, 510
The greatest common divisor of numbers 825, 172, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 172, 510 is 1.

1. What is the GCD of 825, 172, 510?

GCD of given numbers 825, 172, 510 is 1

2. How to calculate the greatest common divisor of 825, 172, 510?

We can find the highest common divisor of 825, 172, 510 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 825, 172, 510 i.e 1.

3. How can I use the GCD of 825, 172, 510Calculator?

Out the numbers 825, 172, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.