GCD of 778, 952, 505, 831 Calculator

Given Input numbers are 778, 952, 505, 831

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

Divisors of 778

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

1, 2, 389, 778

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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 778, 952, 505, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 952, 505, 831 is 1.

Therefore, GCD of numbers 778, 952, 505, 831 is 1

Given Input Data is 778, 952, 505, 831

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 505 is 5 x 101

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(778, 952) = 370328

GCD(778, 952) = ( 778 x 952 ) / 370328

GCD(778, 952) = 740656 / 370328

GCD(778, 952) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 778, 952, 505, 831 is 1

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1. What is the GCD of 778, 952, 505, 831?

GCD of 778, 952, 505, 831 is 1

2. Where do I get the detailed procedure to find GCD of 778, 952, 505, 831?

You can find a detailed procedure to find GCD of 778, 952, 505, 831 on our page.

3. How to find GCD of 778, 952, 505, 831 on a calculator?

You can find the GCD of 778, 952, 505, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.