GCD of 538, 146, 74, 691 Calculator

Given Input numbers are 538, 146, 74, 691

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 538, 146, 74, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 146, 74, 691 is 1.

Therefore, GCD of numbers 538, 146, 74, 691 is 1

Given Input Data is 538, 146, 74, 691

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 146 is 2 x 73

Prime Factorization of 74 is 2 x 37

Prime Factorization of 691 is 691

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(538, 146) = 39274

GCD(538, 146) = ( 538 x 146 ) / 39274

GCD(538, 146) = 78548 / 39274

GCD(538, 146) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 691

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

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

GCD(2, 691) = 1382 / 1382

GCD(2, 691) = 1

GCD of 538, 146, 74, 691 is 1

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• GCD of 148, 344, 19, 101
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1. What is the GCD of 538, 146, 74, 691?

GCD of 538, 146, 74, 691 is 1

2. Where do I get the detailed procedure to find GCD of 538, 146, 74, 691?

You can find a detailed procedure to find GCD of 538, 146, 74, 691 on our page.

3. How to find GCD of 538, 146, 74, 691 on a calculator?

You can find the GCD of 538, 146, 74, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.