GCD of 73, 307, 745, 686 Calculator

Given Input numbers are 73, 307, 745, 686

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 73, 307, 745, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 307, 745, 686 is 1.

Therefore, GCD of numbers 73, 307, 745, 686 is 1

Given Input Data is 73, 307, 745, 686

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

Prime Factorization of 73 is 73

Prime Factorization of 307 is 307

Prime Factorization of 745 is 5 x 149

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(73, 307) = 22411

GCD(73, 307) = ( 73 x 307 ) / 22411

GCD(73, 307) = 22411 / 22411

GCD(73, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 73, 307, 745, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 286, 808, 885
• GCD of 32, 432, 420, 913
• GCD of 12, 408, 402, 815
• GCD of 61, 466, 352, 884
• GCD of 72, 296, 303, 366

1. What is the GCD of 73, 307, 745, 686?

GCD of 73, 307, 745, 686 is 1

2. Where do I get the detailed procedure to find GCD of 73, 307, 745, 686?

You can find a detailed procedure to find GCD of 73, 307, 745, 686 on our page.

3. How to find GCD of 73, 307, 745, 686 on a calculator?

You can find the GCD of 73, 307, 745, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.