GCD of 460, 157, 84, 824 Calculator

Given Input numbers are 460, 157, 84, 824

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 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 460, 157, 84, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 157, 84, 824 is 1.

Therefore, GCD of numbers 460, 157, 84, 824 is 1

Given Input Data is 460, 157, 84, 824

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 157 is 157

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 103

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, 157) = 72220

GCD(460, 157) = ( 460 x 157 ) / 72220

GCD(460, 157) = 72220 / 72220

GCD(460, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 460, 157, 84, 824 is 1

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1. What is the GCD of 460, 157, 84, 824?

GCD of 460, 157, 84, 824 is 1

2. Where do I get the detailed procedure to find GCD of 460, 157, 84, 824?

You can find a detailed procedure to find GCD of 460, 157, 84, 824 on our page.

3. How to find GCD of 460, 157, 84, 824 on a calculator?

You can find the GCD of 460, 157, 84, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.