GCD of 760, 996, 392, 831 Calculator

Given Input numbers are 760, 996, 392, 831

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 760, 996, 392, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 996, 392, 831 is 1.

Therefore, GCD of numbers 760, 996, 392, 831 is 1

Given Input Data is 760, 996, 392, 831

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 831 is 3 x 277

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(760, 996) = 189240

GCD(760, 996) = ( 760 x 996 ) / 189240

GCD(760, 996) = 756960 / 189240

GCD(760, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 392

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

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

GCD(4, 392) = 1568 / 392

GCD(4, 392) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 831

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

LCM(4, 831) = 3324

GCD(4, 831) = ( 4 x 831 ) / 3324

GCD(4, 831) = 3324 / 3324

GCD(4, 831) = 1

GCD of 760, 996, 392, 831 is 1

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1. What is the GCD of 760, 996, 392, 831?

GCD of 760, 996, 392, 831 is 1

2. Where do I get the detailed procedure to find GCD of 760, 996, 392, 831?

You can find a detailed procedure to find GCD of 760, 996, 392, 831 on our page.

3. How to find GCD of 760, 996, 392, 831 on a calculator?

You can find the GCD of 760, 996, 392, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.