GCD of 513, 456, 207, 825 Calculator

Given Input numbers are 513, 456, 207, 825

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

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

GCD of numbers is the greatest common divisor

So, the GCD (513, 456, 207, 825) = 3.

Given numbers are 513, 456, 207, 825

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 207 are 3 x 3 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 513, 456, 207, 825 is 3.

Given numbers are 513, 456, 207, 825

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

Apply this formula for all numbers.

Step1:

LCM(513, 456) = 4104

GCD(513, 456) = ( 513 x 456 ) / 4104

= 513 / 456

= 513

Step2:

LCM(57, 207) = 3933

GCD(57, 207) = ( 57 x 207 ) / 3933

= 57 / 207

= 57

Step3:

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

= 3 / 825

= 3

So, Greatest Common Divisor of 513, 456, 207, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 384, 985, 474
• GCD of 576, 130, 824, 724
• GCD of 535, 754, 753, 225
• GCD of 943, 952, 157, 186
• GCD of 614, 645, 975, 316

Given numbers are 513, 456, 207, 825
The greatest common divisor of numbers 513, 456, 207, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 456, 207, 825 is 3.

1. What is the GCD of 513, 456, 207, 825?

GCD of given numbers 513, 456, 207, 825 is 3

2. How to calculate the greatest common divisor of 513, 456, 207, 825?

We can find the highest common divisor of 513, 456, 207, 825 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 513, 456, 207, 825 i.e 3.

3. How can I use the GCD of 513, 456, 207, 825Calculator?

Out the numbers 513, 456, 207, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.