GCD of 487, 217, 21, 148 Calculator

Given Input numbers are 487, 217, 21, 148

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 487, 217, 21, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 217, 21, 148 is 1.

Therefore, GCD of numbers 487, 217, 21, 148 is 1

Given Input Data is 487, 217, 21, 148

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

Prime Factorization of 487 is 487

Prime Factorization of 217 is 7 x 31

Prime Factorization of 21 is 3 x 7

Prime Factorization of 148 is 2 x 2 x 37

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(487, 217) = 105679

GCD(487, 217) = ( 487 x 217 ) / 105679

GCD(487, 217) = 105679 / 105679

GCD(487, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 487, 217, 21, 148 is 1

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1. What is the GCD of 487, 217, 21, 148?

GCD of 487, 217, 21, 148 is 1

2. Where do I get the detailed procedure to find GCD of 487, 217, 21, 148?

You can find a detailed procedure to find GCD of 487, 217, 21, 148 on our page.

3. How to find GCD of 487, 217, 21, 148 on a calculator?

You can find the GCD of 487, 217, 21, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.