GCD of 778, 120, 30, 833 Calculator

Given Input numbers are 778, 120, 30, 833

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 778, 120, 30, 833 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 120, 30, 833 is 1.

Therefore, GCD of numbers 778, 120, 30, 833 is 1

Given Input Data is 778, 120, 30, 833

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 30 is 2 x 3 x 5

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(778, 120) = 46680

GCD(778, 120) = ( 778 x 120 ) / 46680

GCD(778, 120) = 93360 / 46680

GCD(778, 120) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 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 778, 120, 30, 833 is 1

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1. What is the GCD of 778, 120, 30, 833?

GCD of 778, 120, 30, 833 is 1

2. Where do I get the detailed procedure to find GCD of 778, 120, 30, 833?

You can find a detailed procedure to find GCD of 778, 120, 30, 833 on our page.

3. How to find GCD of 778, 120, 30, 833 on a calculator?

You can find the GCD of 778, 120, 30, 833 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.