GCD of 53, 365, 784, 666 Calculator

Given Input numbers are 53, 365, 784, 666

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

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 53, 365, 784, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 365, 784, 666 is 1.

Therefore, GCD of numbers 53, 365, 784, 666 is 1

Given Input Data is 53, 365, 784, 666

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

Prime Factorization of 53 is 53

Prime Factorization of 365 is 5 x 73

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 666 is 2 x 3 x 3 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(53, 365) = 19345

GCD(53, 365) = ( 53 x 365 ) / 19345

GCD(53, 365) = 19345 / 19345

GCD(53, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 666

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

LCM(1, 666) = 666

GCD(1, 666) = ( 1 x 666 ) / 666

GCD(1, 666) = 666 / 666

GCD(1, 666) = 1

GCD of 53, 365, 784, 666 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 815, 802, 379
• GCD of 17, 703, 782, 786
• GCD of 87, 212, 453, 482
• GCD of 16, 154, 781, 130
• GCD of 22, 893, 354, 402

1. What is the GCD of 53, 365, 784, 666?

GCD of 53, 365, 784, 666 is 1

2. Where do I get the detailed procedure to find GCD of 53, 365, 784, 666?

You can find a detailed procedure to find GCD of 53, 365, 784, 666 on our page.

3. How to find GCD of 53, 365, 784, 666 on a calculator?

You can find the GCD of 53, 365, 784, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.