GCD of 527, 938, 413, 896 Calculator

Given Input numbers are 527, 938, 413, 896

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

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

Greatest Common Divisior

We found the divisors of 527, 938, 413, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 938, 413, 896 is 1.

Therefore, GCD of numbers 527, 938, 413, 896 is 1

Given Input Data is 527, 938, 413, 896

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 413 is 7 x 59

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(527, 938) = 494326

GCD(527, 938) = ( 527 x 938 ) / 494326

GCD(527, 938) = 494326 / 494326

GCD(527, 938) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

Step3:

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

GCD of 527, 938, 413, 896 is 1

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1. What is the GCD of 527, 938, 413, 896?

GCD of 527, 938, 413, 896 is 1

2. Where do I get the detailed procedure to find GCD of 527, 938, 413, 896?

You can find a detailed procedure to find GCD of 527, 938, 413, 896 on our page.

3. How to find GCD of 527, 938, 413, 896 on a calculator?

You can find the GCD of 527, 938, 413, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.