GCD of 809, 296, 651, 152 Calculator

Given Input numbers are 809, 296, 651, 152

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

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 809, 296, 651, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 809, 296, 651, 152 is 1.

Therefore, GCD of numbers 809, 296, 651, 152 is 1

Given Input Data is 809, 296, 651, 152

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

Prime Factorization of 809 is 809

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(809, 296) = 239464

GCD(809, 296) = ( 809 x 296 ) / 239464

GCD(809, 296) = 239464 / 239464

GCD(809, 296) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 809, 296, 651, 152 is 1

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1. What is the GCD of 809, 296, 651, 152?

GCD of 809, 296, 651, 152 is 1

2. Where do I get the detailed procedure to find GCD of 809, 296, 651, 152?

You can find a detailed procedure to find GCD of 809, 296, 651, 152 on our page.

3. How to find GCD of 809, 296, 651, 152 on a calculator?

You can find the GCD of 809, 296, 651, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.