GCD of 758, 720, 657, 913 Calculator

Given Input numbers are 758, 720, 657, 913

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 758, 720, 657, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 720, 657, 913 is 1.

Therefore, GCD of numbers 758, 720, 657, 913 is 1

Given Input Data is 758, 720, 657, 913

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 913 is 11 x 83

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(758, 720) = 272880

GCD(758, 720) = ( 758 x 720 ) / 272880

GCD(758, 720) = 545760 / 272880

GCD(758, 720) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

GCD of 758, 720, 657, 913 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 758, 720, 657, 913?

GCD of 758, 720, 657, 913 is 1

2. Where do I get the detailed procedure to find GCD of 758, 720, 657, 913?

You can find a detailed procedure to find GCD of 758, 720, 657, 913 on our page.

3. How to find GCD of 758, 720, 657, 913 on a calculator?

You can find the GCD of 758, 720, 657, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.