GCD of 199, 758, 48, 766 Calculator

Given Input numbers are 199, 758, 48, 766

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 199, 758, 48, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 758, 48, 766 is 1.

Therefore, GCD of numbers 199, 758, 48, 766 is 1

Given Input Data is 199, 758, 48, 766

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

Prime Factorization of 199 is 199

Prime Factorization of 758 is 2 x 379

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

Prime Factorization of 766 is 2 x 383

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(199, 758) = 150842

GCD(199, 758) = ( 199 x 758 ) / 150842

GCD(199, 758) = 150842 / 150842

GCD(199, 758) = 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 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 199, 758, 48, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 861, 505, 45, 564
• GCD of 237, 369, 21, 634
• GCD of 720, 930, 98, 152
• GCD of 415, 191, 90, 755
• GCD of 504, 953, 14, 968

1. What is the GCD of 199, 758, 48, 766?

GCD of 199, 758, 48, 766 is 1

2. Where do I get the detailed procedure to find GCD of 199, 758, 48, 766?

You can find a detailed procedure to find GCD of 199, 758, 48, 766 on our page.

3. How to find GCD of 199, 758, 48, 766 on a calculator?

You can find the GCD of 199, 758, 48, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.