GCD of 894, 269, 420, 667 Calculator

Given Input numbers are 894, 269, 420, 667

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 269

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

1, 269

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 894, 269, 420, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 269, 420, 667 is 1.

Therefore, GCD of numbers 894, 269, 420, 667 is 1

Given Input Data is 894, 269, 420, 667

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 269 is 269

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 667 is 23 x 29

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(894, 269) = 240486

GCD(894, 269) = ( 894 x 269 ) / 240486

GCD(894, 269) = 240486 / 240486

GCD(894, 269) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 894, 269, 420, 667 is 1

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• GCD of 797, 306, 158, 270
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1. What is the GCD of 894, 269, 420, 667?

GCD of 894, 269, 420, 667 is 1

2. Where do I get the detailed procedure to find GCD of 894, 269, 420, 667?

You can find a detailed procedure to find GCD of 894, 269, 420, 667 on our page.

3. How to find GCD of 894, 269, 420, 667 on a calculator?

You can find the GCD of 894, 269, 420, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.