GCD of 456, 974, 823 Calculator

Given Input numbers are 456, 974, 823

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 823

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

1, 823

Greatest Common Divisior

We found the divisors of 456, 974, 823 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 974, 823 is 1.

Therefore, GCD of numbers 456, 974, 823 is 1

Given Input Data is 456, 974, 823

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 974 is 2 x 487

Prime Factorization of 823 is 823

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(456, 974) = 222072

GCD(456, 974) = ( 456 x 974 ) / 222072

GCD(456, 974) = 444144 / 222072

GCD(456, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 823

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

LCM(2, 823) = 1646

GCD(2, 823) = ( 2 x 823 ) / 1646

GCD(2, 823) = 1646 / 1646

GCD(2, 823) = 1

GCD of 456, 974, 823 is 1

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1. What is the GCD of 456, 974, 823?

GCD of 456, 974, 823 is 1

2. Where do I get the detailed procedure to find GCD of 456, 974, 823?

You can find a detailed procedure to find GCD of 456, 974, 823 on our page.

3. How to find GCD of 456, 974, 823 on a calculator?

You can find the GCD of 456, 974, 823 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.