GCD of 119, 854, 61, 226 Calculator

Given Input numbers are 119, 854, 61, 226

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

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 119, 854, 61, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 854, 61, 226 is 1.

Therefore, GCD of numbers 119, 854, 61, 226 is 1

Given Input Data is 119, 854, 61, 226

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

Prime Factorization of 119 is 7 x 17

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 61 is 61

Prime Factorization of 226 is 2 x 113

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(119, 854) = 14518

GCD(119, 854) = ( 119 x 854 ) / 14518

GCD(119, 854) = 101626 / 14518

GCD(119, 854) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 61

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

LCM(7, 61) = 427

GCD(7, 61) = ( 7 x 61 ) / 427

GCD(7, 61) = 427 / 427

GCD(7, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 226

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

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

GCD(1, 226) = 226 / 226

GCD(1, 226) = 1

GCD of 119, 854, 61, 226 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 117, 84, 175
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• GCD of 618, 832, 42, 303

1. What is the GCD of 119, 854, 61, 226?

GCD of 119, 854, 61, 226 is 1

2. Where do I get the detailed procedure to find GCD of 119, 854, 61, 226?

You can find a detailed procedure to find GCD of 119, 854, 61, 226 on our page.

3. How to find GCD of 119, 854, 61, 226 on a calculator?

You can find the GCD of 119, 854, 61, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.