GCD of 60, 538, 803, 158 Calculator

Given Input numbers are 60, 538, 803, 158

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 538

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

1, 2, 269, 538

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 60, 538, 803, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 538, 803, 158 is 1.

Therefore, GCD of numbers 60, 538, 803, 158 is 1

Given Input Data is 60, 538, 803, 158

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 538 is 2 x 269

Prime Factorization of 803 is 11 x 73

Prime Factorization of 158 is 2 x 79

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(60, 538) = 16140

GCD(60, 538) = ( 60 x 538 ) / 16140

GCD(60, 538) = 32280 / 16140

GCD(60, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 803

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

LCM(2, 803) = 1606

GCD(2, 803) = ( 2 x 803 ) / 1606

GCD(2, 803) = 1606 / 1606

GCD(2, 803) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 60, 538, 803, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 343, 990, 615
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• GCD of 42, 759, 656, 859

1. What is the GCD of 60, 538, 803, 158?

GCD of 60, 538, 803, 158 is 1

2. Where do I get the detailed procedure to find GCD of 60, 538, 803, 158?

You can find a detailed procedure to find GCD of 60, 538, 803, 158 on our page.

3. How to find GCD of 60, 538, 803, 158 on a calculator?

You can find the GCD of 60, 538, 803, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.