GCD of 460, 823, 68, 645 Calculator

Given Input numbers are 460, 823, 68, 645

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 823

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

1, 823

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Greatest Common Divisior

We found the divisors of 460, 823, 68, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 823, 68, 645 is 1.

Therefore, GCD of numbers 460, 823, 68, 645 is 1

Given Input Data is 460, 823, 68, 645

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 823 is 823

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 645 is 3 x 5 x 43

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(460, 823) = 378580

GCD(460, 823) = ( 460 x 823 ) / 378580

GCD(460, 823) = 378580 / 378580

GCD(460, 823) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 645

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

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

GCD(1, 645) = 645 / 645

GCD(1, 645) = 1

GCD of 460, 823, 68, 645 is 1

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• GCD of 498, 873, 88, 454
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• GCD of 347, 874, 50, 114

1. What is the GCD of 460, 823, 68, 645?

GCD of 460, 823, 68, 645 is 1

2. Where do I get the detailed procedure to find GCD of 460, 823, 68, 645?

You can find a detailed procedure to find GCD of 460, 823, 68, 645 on our page.

3. How to find GCD of 460, 823, 68, 645 on a calculator?

You can find the GCD of 460, 823, 68, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.