GCD of 312, 772, 962, 833 Calculator

Given Input numbers are 312, 772, 962, 833

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 833

List of positive integer divisors of 833 that divides 833 without a remainder.

1, 7, 17, 49, 119, 833

Greatest Common Divisior

We found the divisors of 312, 772, 962, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 772, 962, 833 is 1.

Therefore, GCD of numbers 312, 772, 962, 833 is 1

Given Input Data is 312, 772, 962, 833

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 833 is 7 x 7 x 17

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(312, 772) = 60216

GCD(312, 772) = ( 312 x 772 ) / 60216

GCD(312, 772) = 240864 / 60216

GCD(312, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 962

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

LCM(4, 962) = 1924

GCD(4, 962) = ( 4 x 962 ) / 1924

GCD(4, 962) = 3848 / 1924

GCD(4, 962) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 833

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

LCM(2, 833) = 1666

GCD(2, 833) = ( 2 x 833 ) / 1666

GCD(2, 833) = 1666 / 1666

GCD(2, 833) = 1

GCD of 312, 772, 962, 833 is 1

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1. What is the GCD of 312, 772, 962, 833?

GCD of 312, 772, 962, 833 is 1

2. Where do I get the detailed procedure to find GCD of 312, 772, 962, 833?

You can find a detailed procedure to find GCD of 312, 772, 962, 833 on our page.

3. How to find GCD of 312, 772, 962, 833 on a calculator?

You can find the GCD of 312, 772, 962, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.