GCD of 892, 289, 452, 504 Calculator

Given Input numbers are 892, 289, 452, 504

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

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 892, 289, 452, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 289, 452, 504 is 1.

Therefore, GCD of numbers 892, 289, 452, 504 is 1

Given Input Data is 892, 289, 452, 504

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

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 289 is 17 x 17

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(892, 289) = 257788

GCD(892, 289) = ( 892 x 289 ) / 257788

GCD(892, 289) = 257788 / 257788

GCD(892, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 452

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

LCM(1, 452) = 452

GCD(1, 452) = ( 1 x 452 ) / 452

GCD(1, 452) = 452 / 452

GCD(1, 452) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 892, 289, 452, 504 is 1

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1. What is the GCD of 892, 289, 452, 504?

GCD of 892, 289, 452, 504 is 1

2. Where do I get the detailed procedure to find GCD of 892, 289, 452, 504?

You can find a detailed procedure to find GCD of 892, 289, 452, 504 on our page.

3. How to find GCD of 892, 289, 452, 504 on a calculator?

You can find the GCD of 892, 289, 452, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.