GCD of 920, 366, 283, 766 Calculator

Given Input numbers are 920, 366, 283, 766

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 920, 366, 283, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 366, 283, 766 is 1.

Therefore, GCD of numbers 920, 366, 283, 766 is 1

Given Input Data is 920, 366, 283, 766

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 283 is 283

Prime Factorization of 766 is 2 x 383

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(920, 366) = 168360

GCD(920, 366) = ( 920 x 366 ) / 168360

GCD(920, 366) = 336720 / 168360

GCD(920, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 283

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

LCM(2, 283) = 566

GCD(2, 283) = ( 2 x 283 ) / 566

GCD(2, 283) = 566 / 566

GCD(2, 283) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 920, 366, 283, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 276, 961, 948
• GCD of 577, 607, 181, 727
• GCD of 328, 646, 516, 706
• GCD of 491, 642, 672, 922
• GCD of 698, 513, 874, 384

1. What is the GCD of 920, 366, 283, 766?

GCD of 920, 366, 283, 766 is 1

2. Where do I get the detailed procedure to find GCD of 920, 366, 283, 766?

You can find a detailed procedure to find GCD of 920, 366, 283, 766 on our page.

3. How to find GCD of 920, 366, 283, 766 on a calculator?

You can find the GCD of 920, 366, 283, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.