GCD of 803, 119, 66, 852 Calculator

Given Input numbers are 803, 119, 66, 852

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 803, 119, 66, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 119, 66, 852 is 1.

Therefore, GCD of numbers 803, 119, 66, 852 is 1

Given Input Data is 803, 119, 66, 852

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 119 is 7 x 17

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(803, 119) = 95557

GCD(803, 119) = ( 803 x 119 ) / 95557

GCD(803, 119) = 95557 / 95557

GCD(803, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 803, 119, 66, 852 is 1

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1. What is the GCD of 803, 119, 66, 852?

GCD of 803, 119, 66, 852 is 1

2. Where do I get the detailed procedure to find GCD of 803, 119, 66, 852?

You can find a detailed procedure to find GCD of 803, 119, 66, 852 on our page.

3. How to find GCD of 803, 119, 66, 852 on a calculator?

You can find the GCD of 803, 119, 66, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.