GCD of 788, 849, 54, 122 Calculator

Given Input numbers are 788, 849, 54, 122

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 788, 849, 54, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 849, 54, 122 is 1.

Therefore, GCD of numbers 788, 849, 54, 122 is 1

Given Input Data is 788, 849, 54, 122

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 849 is 3 x 283

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 122 is 2 x 61

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(788, 849) = 669012

GCD(788, 849) = ( 788 x 849 ) / 669012

GCD(788, 849) = 669012 / 669012

GCD(788, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 788, 849, 54, 122 is 1

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1. What is the GCD of 788, 849, 54, 122?

GCD of 788, 849, 54, 122 is 1

2. Where do I get the detailed procedure to find GCD of 788, 849, 54, 122?

You can find a detailed procedure to find GCD of 788, 849, 54, 122 on our page.

3. How to find GCD of 788, 849, 54, 122 on a calculator?

You can find the GCD of 788, 849, 54, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.