GCD of 610, 660, 823, 853 Calculator

Given Input numbers are 610, 660, 823, 853

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 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 610, 660, 823, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 660, 823, 853 is 1.

Therefore, GCD of numbers 610, 660, 823, 853 is 1

Given Input Data is 610, 660, 823, 853

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 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 823 is 823

Prime Factorization of 853 is 853

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, 660) = 40260

GCD(610, 660) = ( 610 x 660 ) / 40260

GCD(610, 660) = 402600 / 40260

GCD(610, 660) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 823

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

LCM(10, 823) = 8230

GCD(10, 823) = ( 10 x 823 ) / 8230

GCD(10, 823) = 8230 / 8230

GCD(10, 823) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 610, 660, 823, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 280, 838, 191
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• GCD of 163, 422, 345, 954
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• GCD of 979, 156, 189, 834

1. What is the GCD of 610, 660, 823, 853?

GCD of 610, 660, 823, 853 is 1

2. Where do I get the detailed procedure to find GCD of 610, 660, 823, 853?

You can find a detailed procedure to find GCD of 610, 660, 823, 853 on our page.

3. How to find GCD of 610, 660, 823, 853 on a calculator?

You can find the GCD of 610, 660, 823, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.