GCD of 832, 276, 397, 920 Calculator

Given Input numbers are 832, 276, 397, 920

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

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 832, 276, 397, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 276, 397, 920 is 1.

Therefore, GCD of numbers 832, 276, 397, 920 is 1

Given Input Data is 832, 276, 397, 920

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 397 is 397

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(832, 276) = 57408

GCD(832, 276) = ( 832 x 276 ) / 57408

GCD(832, 276) = 229632 / 57408

GCD(832, 276) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 397

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

LCM(4, 397) = 1588

GCD(4, 397) = ( 4 x 397 ) / 1588

GCD(4, 397) = 1588 / 1588

GCD(4, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 832, 276, 397, 920 is 1

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1. What is the GCD of 832, 276, 397, 920?

GCD of 832, 276, 397, 920 is 1

2. Where do I get the detailed procedure to find GCD of 832, 276, 397, 920?

You can find a detailed procedure to find GCD of 832, 276, 397, 920 on our page.

3. How to find GCD of 832, 276, 397, 920 on a calculator?

You can find the GCD of 832, 276, 397, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.