GCD of 47, 644, 542, 152 Calculator

Given Input numbers are 47, 644, 542, 152

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 47, 644, 542, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 644, 542, 152 is 1.

Therefore, GCD of numbers 47, 644, 542, 152 is 1

Given Input Data is 47, 644, 542, 152

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

Prime Factorization of 47 is 47

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 542 is 2 x 271

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(47, 644) = 30268

GCD(47, 644) = ( 47 x 644 ) / 30268

GCD(47, 644) = 30268 / 30268

GCD(47, 644) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 47, 644, 542, 152 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 18, 575, 996, 295
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• GCD of 45, 236, 545, 417
• GCD of 12, 518, 693, 645
• GCD of 37, 535, 851, 721

1. What is the GCD of 47, 644, 542, 152?

GCD of 47, 644, 542, 152 is 1

2. Where do I get the detailed procedure to find GCD of 47, 644, 542, 152?

You can find a detailed procedure to find GCD of 47, 644, 542, 152 on our page.

3. How to find GCD of 47, 644, 542, 152 on a calculator?

You can find the GCD of 47, 644, 542, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.