GCD of 898, 742, 938, 445 Calculator

Given Input numbers are 898, 742, 938, 445

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

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 445

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

1, 5, 89, 445

Greatest Common Divisior

We found the divisors of 898, 742, 938, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 742, 938, 445 is 1.

Therefore, GCD of numbers 898, 742, 938, 445 is 1

Given Input Data is 898, 742, 938, 445

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 445 is 5 x 89

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(898, 742) = 333158

GCD(898, 742) = ( 898 x 742 ) / 333158

GCD(898, 742) = 666316 / 333158

GCD(898, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 938

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

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

GCD(2, 938) = 1876 / 938

GCD(2, 938) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 445

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

LCM(2, 445) = 890

GCD(2, 445) = ( 2 x 445 ) / 890

GCD(2, 445) = 890 / 890

GCD(2, 445) = 1

GCD of 898, 742, 938, 445 is 1

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• GCD of 838, 597, 218, 177
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1. What is the GCD of 898, 742, 938, 445?

GCD of 898, 742, 938, 445 is 1

2. Where do I get the detailed procedure to find GCD of 898, 742, 938, 445?

You can find a detailed procedure to find GCD of 898, 742, 938, 445 on our page.

3. How to find GCD of 898, 742, 938, 445 on a calculator?

You can find the GCD of 898, 742, 938, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.