GCD of 221, 955, 48, 772 Calculator

Given Input numbers are 221, 955, 48, 772

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 221, 955, 48, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 955, 48, 772 is 1.

Therefore, GCD of numbers 221, 955, 48, 772 is 1

Given Input Data is 221, 955, 48, 772

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 955 is 5 x 191

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 772 is 2 x 2 x 193

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(221, 955) = 211055

GCD(221, 955) = ( 221 x 955 ) / 211055

GCD(221, 955) = 211055 / 211055

GCD(221, 955) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 221, 955, 48, 772 is 1

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1. What is the GCD of 221, 955, 48, 772?

GCD of 221, 955, 48, 772 is 1

2. Where do I get the detailed procedure to find GCD of 221, 955, 48, 772?

You can find a detailed procedure to find GCD of 221, 955, 48, 772 on our page.

3. How to find GCD of 221, 955, 48, 772 on a calculator?

You can find the GCD of 221, 955, 48, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.