GCD of 301, 698, 69, 529 Calculator

Given Input numbers are 301, 698, 69, 529

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

Divisors of 301

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

1, 7, 43, 301

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 301, 698, 69, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 698, 69, 529 is 1.

Therefore, GCD of numbers 301, 698, 69, 529 is 1

Given Input Data is 301, 698, 69, 529

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 698 is 2 x 349

Prime Factorization of 69 is 3 x 23

Prime Factorization of 529 is 23 x 23

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(301, 698) = 210098

GCD(301, 698) = ( 301 x 698 ) / 210098

GCD(301, 698) = 210098 / 210098

GCD(301, 698) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 301, 698, 69, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 997, 37, 964
• GCD of 269, 599, 43, 952
• GCD of 451, 752, 67, 425
• GCD of 482, 105, 69, 617
• GCD of 506, 498, 40, 946

1. What is the GCD of 301, 698, 69, 529?

GCD of 301, 698, 69, 529 is 1

2. Where do I get the detailed procedure to find GCD of 301, 698, 69, 529?

You can find a detailed procedure to find GCD of 301, 698, 69, 529 on our page.

3. How to find GCD of 301, 698, 69, 529 on a calculator?

You can find the GCD of 301, 698, 69, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.