GCD of 849, 908, 57, 122 Calculator

Given Input numbers are 849, 908, 57, 122

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

Divisors of 849

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

1, 3, 283, 849

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 849, 908, 57, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 908, 57, 122 is 1.

Therefore, GCD of numbers 849, 908, 57, 122 is 1

Given Input Data is 849, 908, 57, 122

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 57 is 3 x 19

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(849, 908) = 770892

GCD(849, 908) = ( 849 x 908 ) / 770892

GCD(849, 908) = 770892 / 770892

GCD(849, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 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 849, 908, 57, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 858, 33, 828
• GCD of 205, 542, 34, 497
• GCD of 959, 226, 57, 200
• GCD of 664, 141, 11, 281
• GCD of 336, 902, 65, 752

1. What is the GCD of 849, 908, 57, 122?

GCD of 849, 908, 57, 122 is 1

2. Where do I get the detailed procedure to find GCD of 849, 908, 57, 122?

You can find a detailed procedure to find GCD of 849, 908, 57, 122 on our page.

3. How to find GCD of 849, 908, 57, 122 on a calculator?

You can find the GCD of 849, 908, 57, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.