GCD of 68, 830, 949, 301 Calculator

Given Input numbers are 68, 830, 949, 301

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 68, 830, 949, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 830, 949, 301 is 1.

Therefore, GCD of numbers 68, 830, 949, 301 is 1

Given Input Data is 68, 830, 949, 301

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 949 is 13 x 73

Prime Factorization of 301 is 7 x 43

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(68, 830) = 28220

GCD(68, 830) = ( 68 x 830 ) / 28220

GCD(68, 830) = 56440 / 28220

GCD(68, 830) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 68, 830, 949, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 923, 584, 128
• GCD of 54, 298, 724, 480
• GCD of 98, 103, 916, 868
• GCD of 28, 900, 583, 666
• GCD of 37, 798, 219, 515

1. What is the GCD of 68, 830, 949, 301?

GCD of 68, 830, 949, 301 is 1

2. Where do I get the detailed procedure to find GCD of 68, 830, 949, 301?

You can find a detailed procedure to find GCD of 68, 830, 949, 301 on our page.

3. How to find GCD of 68, 830, 949, 301 on a calculator?

You can find the GCD of 68, 830, 949, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.