GCD of 240, 690, 31, 301 Calculator

Given Input numbers are 240, 690, 31, 301

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 240, 690, 31, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 690, 31, 301 is 1.

Therefore, GCD of numbers 240, 690, 31, 301 is 1

Given Input Data is 240, 690, 31, 301

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 31 is 31

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(240, 690) = 5520

GCD(240, 690) = ( 240 x 690 ) / 5520

GCD(240, 690) = 165600 / 5520

GCD(240, 690) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 31

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

LCM(30, 31) = 930

GCD(30, 31) = ( 30 x 31 ) / 930

GCD(30, 31) = 930 / 930

GCD(30, 31) = 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 240, 690, 31, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 796, 24, 694
• GCD of 453, 188, 98, 511
• GCD of 411, 941, 90, 816
• GCD of 500, 571, 10, 794
• GCD of 402, 861, 88, 973

1. What is the GCD of 240, 690, 31, 301?

GCD of 240, 690, 31, 301 is 1

2. Where do I get the detailed procedure to find GCD of 240, 690, 31, 301?

You can find a detailed procedure to find GCD of 240, 690, 31, 301 on our page.

3. How to find GCD of 240, 690, 31, 301 on a calculator?

You can find the GCD of 240, 690, 31, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.