GCD of 533, 525, 896, 214 Calculator

Given Input numbers are 533, 525, 896, 214

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

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 533, 525, 896, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 525, 896, 214 is 1.

Therefore, GCD of numbers 533, 525, 896, 214 is 1

Given Input Data is 533, 525, 896, 214

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

Prime Factorization of 533 is 13 x 41

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 214 is 2 x 107

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(533, 525) = 279825

GCD(533, 525) = ( 533 x 525 ) / 279825

GCD(533, 525) = 279825 / 279825

GCD(533, 525) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 533, 525, 896, 214 is 1

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1. What is the GCD of 533, 525, 896, 214?

GCD of 533, 525, 896, 214 is 1

2. Where do I get the detailed procedure to find GCD of 533, 525, 896, 214?

You can find a detailed procedure to find GCD of 533, 525, 896, 214 on our page.

3. How to find GCD of 533, 525, 896, 214 on a calculator?

You can find the GCD of 533, 525, 896, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.