GCD of 772, 366, 47, 106 Calculator

Given Input numbers are 772, 366, 47, 106

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

Divisors of 772

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

1, 2, 4, 193, 386, 772

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 47

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

1, 47

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 772, 366, 47, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 772, 366, 47, 106 is 1.

Therefore, GCD of numbers 772, 366, 47, 106 is 1

Given Input Data is 772, 366, 47, 106

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 47 is 47

Prime Factorization of 106 is 2 x 53

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(772, 366) = 141276

GCD(772, 366) = ( 772 x 366 ) / 141276

GCD(772, 366) = 282552 / 141276

GCD(772, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 47

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

LCM(2, 47) = 94

GCD(2, 47) = ( 2 x 47 ) / 94

GCD(2, 47) = 94 / 94

GCD(2, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 772, 366, 47, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 601, 30, 773
• GCD of 273, 468, 77, 853
• GCD of 103, 899, 61, 827
• GCD of 336, 238, 24, 478
• GCD of 821, 680, 99, 147

1. What is the GCD of 772, 366, 47, 106?

GCD of 772, 366, 47, 106 is 1

2. Where do I get the detailed procedure to find GCD of 772, 366, 47, 106?

You can find a detailed procedure to find GCD of 772, 366, 47, 106 on our page.

3. How to find GCD of 772, 366, 47, 106 on a calculator?

You can find the GCD of 772, 366, 47, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.