GCD of 296, 812, 67, 648 Calculator

Given Input numbers are 296, 812, 67, 648

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

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 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 296, 812, 67, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 812, 67, 648 is 1.

Therefore, GCD of numbers 296, 812, 67, 648 is 1

Given Input Data is 296, 812, 67, 648

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

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

Prime Factorization of 812 is 2 x 2 x 7 x 29

Prime Factorization of 67 is 67

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(296, 812) = 60088

GCD(296, 812) = ( 296 x 812 ) / 60088

GCD(296, 812) = 240352 / 60088

GCD(296, 812) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 67

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

LCM(4, 67) = 268

GCD(4, 67) = ( 4 x 67 ) / 268

GCD(4, 67) = 268 / 268

GCD(4, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 296, 812, 67, 648 is 1

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1. What is the GCD of 296, 812, 67, 648?

GCD of 296, 812, 67, 648 is 1

2. Where do I get the detailed procedure to find GCD of 296, 812, 67, 648?

You can find a detailed procedure to find GCD of 296, 812, 67, 648 on our page.

3. How to find GCD of 296, 812, 67, 648 on a calculator?

You can find the GCD of 296, 812, 67, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.