GCD of 240, 712, 721, 757 Calculator

Given Input numbers are 240, 712, 721, 757

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 240, 712, 721, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 712, 721, 757 is 1.

Therefore, GCD of numbers 240, 712, 721, 757 is 1

Given Input Data is 240, 712, 721, 757

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 712 is 2 x 2 x 2 x 89

Prime Factorization of 721 is 7 x 103

Prime Factorization of 757 is 757

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, 712) = 21360

GCD(240, 712) = ( 240 x 712 ) / 21360

GCD(240, 712) = 170880 / 21360

GCD(240, 712) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 721

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

LCM(8, 721) = 5768

GCD(8, 721) = ( 8 x 721 ) / 5768

GCD(8, 721) = 5768 / 5768

GCD(8, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 240, 712, 721, 757 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 672, 793, 581
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1. What is the GCD of 240, 712, 721, 757?

GCD of 240, 712, 721, 757 is 1

2. Where do I get the detailed procedure to find GCD of 240, 712, 721, 757?

You can find a detailed procedure to find GCD of 240, 712, 721, 757 on our page.

3. How to find GCD of 240, 712, 721, 757 on a calculator?

You can find the GCD of 240, 712, 721, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.