GCD of 521, 538, 61, 758 Calculator

Given Input numbers are 521, 538, 61, 758

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 538

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

1, 2, 269, 538

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 521, 538, 61, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 538, 61, 758 is 1.

Therefore, GCD of numbers 521, 538, 61, 758 is 1

Given Input Data is 521, 538, 61, 758

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

Prime Factorization of 521 is 521

Prime Factorization of 538 is 2 x 269

Prime Factorization of 61 is 61

Prime Factorization of 758 is 2 x 379

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(521, 538) = 280298

GCD(521, 538) = ( 521 x 538 ) / 280298

GCD(521, 538) = 280298 / 280298

GCD(521, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 521, 538, 61, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 497, 51, 817
• GCD of 689, 206, 41, 930
• GCD of 666, 833, 40, 150
• GCD of 748, 804, 38, 649
• GCD of 773, 100, 70, 809

1. What is the GCD of 521, 538, 61, 758?

GCD of 521, 538, 61, 758 is 1

2. Where do I get the detailed procedure to find GCD of 521, 538, 61, 758?

You can find a detailed procedure to find GCD of 521, 538, 61, 758 on our page.

3. How to find GCD of 521, 538, 61, 758 on a calculator?

You can find the GCD of 521, 538, 61, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.