GCD of 823, 412, 690, 848 Calculator

Given Input numbers are 823, 412, 690, 848

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

Divisors of 823

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

1, 823

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Greatest Common Divisior

We found the divisors of 823, 412, 690, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 412, 690, 848 is 1.

Therefore, GCD of numbers 823, 412, 690, 848 is 1

Given Input Data is 823, 412, 690, 848

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

Prime Factorization of 823 is 823

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

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(823, 412) = 339076

GCD(823, 412) = ( 823 x 412 ) / 339076

GCD(823, 412) = 339076 / 339076

GCD(823, 412) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 848

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

LCM(1, 848) = 848

GCD(1, 848) = ( 1 x 848 ) / 848

GCD(1, 848) = 848 / 848

GCD(1, 848) = 1

GCD of 823, 412, 690, 848 is 1

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1. What is the GCD of 823, 412, 690, 848?

GCD of 823, 412, 690, 848 is 1

2. Where do I get the detailed procedure to find GCD of 823, 412, 690, 848?

You can find a detailed procedure to find GCD of 823, 412, 690, 848 on our page.

3. How to find GCD of 823, 412, 690, 848 on a calculator?

You can find the GCD of 823, 412, 690, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.