GCD of 122, 361, 896, 918 Calculator

Given Input numbers are 122, 361, 896, 918

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

Divisors of 122

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

1, 2, 61, 122

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Greatest Common Divisior

We found the divisors of 122, 361, 896, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 361, 896, 918 is 1.

Therefore, GCD of numbers 122, 361, 896, 918 is 1

Given Input Data is 122, 361, 896, 918

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 361 is 19 x 19

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 918 is 2 x 3 x 3 x 3 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(122, 361) = 44042

GCD(122, 361) = ( 122 x 361 ) / 44042

GCD(122, 361) = 44042 / 44042

GCD(122, 361) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 918

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

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

GCD(1, 918) = 918 / 918

GCD(1, 918) = 1

GCD of 122, 361, 896, 918 is 1

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1. What is the GCD of 122, 361, 896, 918?

GCD of 122, 361, 896, 918 is 1

2. Where do I get the detailed procedure to find GCD of 122, 361, 896, 918?

You can find a detailed procedure to find GCD of 122, 361, 896, 918 on our page.

3. How to find GCD of 122, 361, 896, 918 on a calculator?

You can find the GCD of 122, 361, 896, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.