GCD of 538, 171, 356, 776 Calculator

Given Input numbers are 538, 171, 356, 776

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 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 538, 171, 356, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 171, 356, 776 is 1.

Therefore, GCD of numbers 538, 171, 356, 776 is 1

Given Input Data is 538, 171, 356, 776

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 776 is 2 x 2 x 2 x 97

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, 171) = 91998

GCD(538, 171) = ( 538 x 171 ) / 91998

GCD(538, 171) = 91998 / 91998

GCD(538, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 776

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

LCM(1, 776) = 776

GCD(1, 776) = ( 1 x 776 ) / 776

GCD(1, 776) = 776 / 776

GCD(1, 776) = 1

GCD of 538, 171, 356, 776 is 1

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1. What is the GCD of 538, 171, 356, 776?

GCD of 538, 171, 356, 776 is 1

2. Where do I get the detailed procedure to find GCD of 538, 171, 356, 776?

You can find a detailed procedure to find GCD of 538, 171, 356, 776 on our page.

3. How to find GCD of 538, 171, 356, 776 on a calculator?

You can find the GCD of 538, 171, 356, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.