GCD of 495, 740, 225, 864 Calculator

Given Input numbers are 495, 740, 225, 864

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

GCD of numbers is the greatest common divisor

So, the GCD (495, 740, 225, 864) = 1.

Given numbers are 495, 740, 225, 864

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 495, 740, 225, 864

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

Apply this formula for all numbers.

Step1:

LCM(495, 740) = 73260

GCD(495, 740) = ( 495 x 740 ) / 73260

= 495 / 740

= 495

Step2:

LCM(5, 225) = 225

GCD(5, 225) = ( 5 x 225 ) / 225

= 5 / 225

= 5

Step3:

LCM(5, 864) = 4320

GCD(5, 864) = ( 5 x 864 ) / 4320

= 5 / 864

= 5

So, Greatest Common Divisor of 495, 740, 225, 864 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 143, 273, 501
• GCD of 114, 704, 829, 370
• GCD of 640, 540, 177, 832
• GCD of 134, 864, 115, 795
• GCD of 472, 646, 586, 386

Given numbers are 495, 740, 225, 864
The greatest common divisor of numbers 495, 740, 225, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 740, 225, 864 is 1.

1. What is the GCD of 495, 740, 225, 864?

GCD of given numbers 495, 740, 225, 864 is 1

2. How to calculate the greatest common divisor of 495, 740, 225, 864?

We can find the highest common divisor of 495, 740, 225, 864 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 495, 740, 225, 864 i.e 1.

3. How can I use the GCD of 495, 740, 225, 864Calculator?

Out the numbers 495, 740, 225, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.