GCD of 67, 334, 832, 814 Calculator

Given Input numbers are 67, 334, 832, 814

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 67, 334, 832, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 334, 832, 814 is 1.

Therefore, GCD of numbers 67, 334, 832, 814 is 1

Given Input Data is 67, 334, 832, 814

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

Prime Factorization of 67 is 67

Prime Factorization of 334 is 2 x 167

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 814 is 2 x 11 x 37

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, 334) = 22378

GCD(67, 334) = ( 67 x 334 ) / 22378

GCD(67, 334) = 22378 / 22378

GCD(67, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 832

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

LCM(1, 832) = 832

GCD(1, 832) = ( 1 x 832 ) / 832

GCD(1, 832) = 832 / 832

GCD(1, 832) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 67, 334, 832, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 95, 924, 890, 300
• GCD of 80, 845, 135, 576
• GCD of 66, 464, 587, 483
• GCD of 74, 613, 740, 483
• GCD of 65, 601, 552, 311

1. What is the GCD of 67, 334, 832, 814?

GCD of 67, 334, 832, 814 is 1

2. Where do I get the detailed procedure to find GCD of 67, 334, 832, 814?

You can find a detailed procedure to find GCD of 67, 334, 832, 814 on our page.

3. How to find GCD of 67, 334, 832, 814 on a calculator?

You can find the GCD of 67, 334, 832, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.