GCD of 64, 292, 459, 814 Calculator

Given Input numbers are 64, 292, 459, 814

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 64, 292, 459, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 292, 459, 814 is 1.

Therefore, GCD of numbers 64, 292, 459, 814 is 1

Given Input Data is 64, 292, 459, 814

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 814 is 2 x 11 x 37

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(64, 292) = 4672

GCD(64, 292) = ( 64 x 292 ) / 4672

GCD(64, 292) = 18688 / 4672

GCD(64, 292) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 459

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

LCM(4, 459) = 1836

GCD(4, 459) = ( 4 x 459 ) / 1836

GCD(4, 459) = 1836 / 1836

GCD(4, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 64, 292, 459, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 567, 185, 904
• GCD of 77, 920, 697, 827
• GCD of 56, 124, 403, 584
• GCD of 33, 724, 142, 944
• GCD of 15, 988, 111, 560

1. What is the GCD of 64, 292, 459, 814?

GCD of 64, 292, 459, 814 is 1

2. Where do I get the detailed procedure to find GCD of 64, 292, 459, 814?

You can find a detailed procedure to find GCD of 64, 292, 459, 814 on our page.

3. How to find GCD of 64, 292, 459, 814 on a calculator?

You can find the GCD of 64, 292, 459, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.