GCD of 965, 232, 31, 778 Calculator

Given Input numbers are 965, 232, 31, 778

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

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 965, 232, 31, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 965, 232, 31, 778 is 1.

Therefore, GCD of numbers 965, 232, 31, 778 is 1

Given Input Data is 965, 232, 31, 778

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

Prime Factorization of 965 is 5 x 193

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 31 is 31

Prime Factorization of 778 is 2 x 389

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(965, 232) = 223880

GCD(965, 232) = ( 965 x 232 ) / 223880

GCD(965, 232) = 223880 / 223880

GCD(965, 232) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 778

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

LCM(1, 778) = 778

GCD(1, 778) = ( 1 x 778 ) / 778

GCD(1, 778) = 778 / 778

GCD(1, 778) = 1

GCD of 965, 232, 31, 778 is 1

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1. What is the GCD of 965, 232, 31, 778?

GCD of 965, 232, 31, 778 is 1

2. Where do I get the detailed procedure to find GCD of 965, 232, 31, 778?

You can find a detailed procedure to find GCD of 965, 232, 31, 778 on our page.

3. How to find GCD of 965, 232, 31, 778 on a calculator?

You can find the GCD of 965, 232, 31, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.