GCD of 67, 309, 457, 842 Calculator

Given Input numbers are 67, 309, 457, 842

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

Divisors of 67

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

1, 67

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 67, 309, 457, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 309, 457, 842 is 1.

Therefore, GCD of numbers 67, 309, 457, 842 is 1

Given Input Data is 67, 309, 457, 842

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

Prime Factorization of 67 is 67

Prime Factorization of 309 is 3 x 103

Prime Factorization of 457 is 457

Prime Factorization of 842 is 2 x 421

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(67, 309) = 20703

GCD(67, 309) = ( 67 x 309 ) / 20703

GCD(67, 309) = 20703 / 20703

GCD(67, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 67, 309, 457, 842 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 682, 432, 248
• GCD of 30, 120, 378, 409
• GCD of 68, 164, 398, 773
• GCD of 10, 265, 600, 396
• GCD of 31, 215, 614, 774

1. What is the GCD of 67, 309, 457, 842?

GCD of 67, 309, 457, 842 is 1

2. Where do I get the detailed procedure to find GCD of 67, 309, 457, 842?

You can find a detailed procedure to find GCD of 67, 309, 457, 842 on our page.

3. How to find GCD of 67, 309, 457, 842 on a calculator?

You can find the GCD of 67, 309, 457, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.