GCD of 538, 643, 155, 695 Calculator

Given Input numbers are 538, 643, 155, 695

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 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 538, 643, 155, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 643, 155, 695 is 1.

Therefore, GCD of numbers 538, 643, 155, 695 is 1

Given Input Data is 538, 643, 155, 695

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 643 is 643

Prime Factorization of 155 is 5 x 31

Prime Factorization of 695 is 5 x 139

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, 643) = 345934

GCD(538, 643) = ( 538 x 643 ) / 345934

GCD(538, 643) = 345934 / 345934

GCD(538, 643) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 538, 643, 155, 695 is 1

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1. What is the GCD of 538, 643, 155, 695?

GCD of 538, 643, 155, 695 is 1

2. Where do I get the detailed procedure to find GCD of 538, 643, 155, 695?

You can find a detailed procedure to find GCD of 538, 643, 155, 695 on our page.

3. How to find GCD of 538, 643, 155, 695 on a calculator?

You can find the GCD of 538, 643, 155, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.