GCD of 854, 379, 614, 849 Calculator

Given Input numbers are 854, 379, 614, 849

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

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 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 849

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

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 854, 379, 614, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 379, 614, 849 is 1.

Therefore, GCD of numbers 854, 379, 614, 849 is 1

Given Input Data is 854, 379, 614, 849

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 379 is 379

Prime Factorization of 614 is 2 x 307

Prime Factorization of 849 is 3 x 283

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(854, 379) = 323666

GCD(854, 379) = ( 854 x 379 ) / 323666

GCD(854, 379) = 323666 / 323666

GCD(854, 379) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 854, 379, 614, 849 is 1

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1. What is the GCD of 854, 379, 614, 849?

GCD of 854, 379, 614, 849 is 1

2. Where do I get the detailed procedure to find GCD of 854, 379, 614, 849?

You can find a detailed procedure to find GCD of 854, 379, 614, 849 on our page.

3. How to find GCD of 854, 379, 614, 849 on a calculator?

You can find the GCD of 854, 379, 614, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.