GCD of 938, 849, 109, 454 Calculator

Given Input numbers are 938, 849, 109, 454

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

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 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 938, 849, 109, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 849, 109, 454 is 1.

Therefore, GCD of numbers 938, 849, 109, 454 is 1

Given Input Data is 938, 849, 109, 454

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 849 is 3 x 283

Prime Factorization of 109 is 109

Prime Factorization of 454 is 2 x 227

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(938, 849) = 796362

GCD(938, 849) = ( 938 x 849 ) / 796362

GCD(938, 849) = 796362 / 796362

GCD(938, 849) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 938, 849, 109, 454 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 118, 891, 604
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• GCD of 832, 667, 569, 972
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1. What is the GCD of 938, 849, 109, 454?

GCD of 938, 849, 109, 454 is 1

2. Where do I get the detailed procedure to find GCD of 938, 849, 109, 454?

You can find a detailed procedure to find GCD of 938, 849, 109, 454 on our page.

3. How to find GCD of 938, 849, 109, 454 on a calculator?

You can find the GCD of 938, 849, 109, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.