GCD of 269, 445, 387, 854 Calculator

Given Input numbers are 269, 445, 387, 854

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

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 854

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

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

Greatest Common Divisior

We found the divisors of 269, 445, 387, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 269, 445, 387, 854 is 1.

Therefore, GCD of numbers 269, 445, 387, 854 is 1

Given Input Data is 269, 445, 387, 854

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

Prime Factorization of 269 is 269

Prime Factorization of 445 is 5 x 89

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 854 is 2 x 7 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(269, 445) = 119705

GCD(269, 445) = ( 269 x 445 ) / 119705

GCD(269, 445) = 119705 / 119705

GCD(269, 445) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 269, 445, 387, 854 is 1

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1. What is the GCD of 269, 445, 387, 854?

GCD of 269, 445, 387, 854 is 1

2. Where do I get the detailed procedure to find GCD of 269, 445, 387, 854?

You can find a detailed procedure to find GCD of 269, 445, 387, 854 on our page.

3. How to find GCD of 269, 445, 387, 854 on a calculator?

You can find the GCD of 269, 445, 387, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.