GCD of 825, 576, 865, 465 Calculator

Given Input numbers are 825, 576, 865, 465

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 865 :

The positive integer divisors of 865 that completely divides 865 are.

1, 5, 173, 865

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

GCD of numbers is the greatest common divisor

So, the GCD (825, 576, 865, 465) = 1.

Given numbers are 825, 576, 865, 465

The list of prime factors of all numbers are

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

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 865 are 5 x 173

Prime factors of 465 are 3 x 5 x 31

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

Given numbers are 825, 576, 865, 465

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

Apply this formula for all numbers.

Step1:

LCM(825, 576) = 158400

GCD(825, 576) = ( 825 x 576 ) / 158400

= 825 / 576

= 825

Step2:

LCM(3, 865) = 2595

GCD(3, 865) = ( 3 x 865 ) / 2595

= 3 / 865

= 3

Step3:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1

So, Greatest Common Divisor of 825, 576, 865, 465 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 929, 775, 149
• GCD of 960, 334, 979, 762
• GCD of 144, 303, 391, 714
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Given numbers are 825, 576, 865, 465
The greatest common divisor of numbers 825, 576, 865, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 576, 865, 465 is 1.

1. What is the GCD of 825, 576, 865, 465?

GCD of given numbers 825, 576, 865, 465 is 1

2. How to calculate the greatest common divisor of 825, 576, 865, 465?

We can find the highest common divisor of 825, 576, 865, 465 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, 576, 865, 465 i.e 1.

3. How can I use the GCD of 825, 576, 865, 465Calculator?

Out the numbers 825, 576, 865, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.