GCD of 538, 746, 379, 524 Calculator

Given Input numbers are 538, 746, 379, 524

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 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 538, 746, 379, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 746, 379, 524 is 1.

Therefore, GCD of numbers 538, 746, 379, 524 is 1

Given Input Data is 538, 746, 379, 524

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 746 is 2 x 373

Prime Factorization of 379 is 379

Prime Factorization of 524 is 2 x 2 x 131

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, 746) = 200674

GCD(538, 746) = ( 538 x 746 ) / 200674

GCD(538, 746) = 401348 / 200674

GCD(538, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 379

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

LCM(2, 379) = 758

GCD(2, 379) = ( 2 x 379 ) / 758

GCD(2, 379) = 758 / 758

GCD(2, 379) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 538, 746, 379, 524 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 514, 225, 439
• GCD of 410, 934, 805, 848
• GCD of 699, 529, 998, 640
• GCD of 634, 430, 226, 723
• GCD of 158, 524, 256, 710

1. What is the GCD of 538, 746, 379, 524?

GCD of 538, 746, 379, 524 is 1

2. Where do I get the detailed procedure to find GCD of 538, 746, 379, 524?

You can find a detailed procedure to find GCD of 538, 746, 379, 524 on our page.

3. How to find GCD of 538, 746, 379, 524 on a calculator?

You can find the GCD of 538, 746, 379, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.