GCD of 610, 920, 66, 293 Calculator

Given Input numbers are 610, 920, 66, 293

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 610, 920, 66, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 920, 66, 293 is 1.

Therefore, GCD of numbers 610, 920, 66, 293 is 1

Given Input Data is 610, 920, 66, 293

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

Prime Factorization of 610 is 2 x 5 x 61

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 293 is 293

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(610, 920) = 56120

GCD(610, 920) = ( 610 x 920 ) / 56120

GCD(610, 920) = 561200 / 56120

GCD(610, 920) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 66

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

LCM(10, 66) = 330

GCD(10, 66) = ( 10 x 66 ) / 330

GCD(10, 66) = 660 / 330

GCD(10, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 293

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

LCM(2, 293) = 586

GCD(2, 293) = ( 2 x 293 ) / 586

GCD(2, 293) = 586 / 586

GCD(2, 293) = 1

GCD of 610, 920, 66, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 354, 12, 951
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• GCD of 674, 143, 84, 480

1. What is the GCD of 610, 920, 66, 293?

GCD of 610, 920, 66, 293 is 1

2. Where do I get the detailed procedure to find GCD of 610, 920, 66, 293?

You can find a detailed procedure to find GCD of 610, 920, 66, 293 on our page.

3. How to find GCD of 610, 920, 66, 293 on a calculator?

You can find the GCD of 610, 920, 66, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.