GCD of 115, 457, 703, 772 Calculator

Given Input numbers are 115, 457, 703, 772

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 115, 457, 703, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 457, 703, 772 is 1.

Therefore, GCD of numbers 115, 457, 703, 772 is 1

Given Input Data is 115, 457, 703, 772

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 457 is 457

Prime Factorization of 703 is 19 x 37

Prime Factorization of 772 is 2 x 2 x 193

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(115, 457) = 52555

GCD(115, 457) = ( 115 x 457 ) / 52555

GCD(115, 457) = 52555 / 52555

GCD(115, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 115, 457, 703, 772 is 1

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1. What is the GCD of 115, 457, 703, 772?

GCD of 115, 457, 703, 772 is 1

2. Where do I get the detailed procedure to find GCD of 115, 457, 703, 772?

You can find a detailed procedure to find GCD of 115, 457, 703, 772 on our page.

3. How to find GCD of 115, 457, 703, 772 on a calculator?

You can find the GCD of 115, 457, 703, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.