GCD of 755, 689, 78, 115 Calculator

Given Input numbers are 755, 689, 78, 115

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 115

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

1, 5, 23, 115

Greatest Common Divisior

We found the divisors of 755, 689, 78, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 689, 78, 115 is 1.

Therefore, GCD of numbers 755, 689, 78, 115 is 1

Given Input Data is 755, 689, 78, 115

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 689 is 13 x 53

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 115 is 5 x 23

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(755, 689) = 520195

GCD(755, 689) = ( 755 x 689 ) / 520195

GCD(755, 689) = 520195 / 520195

GCD(755, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 115

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

LCM(1, 115) = 115

GCD(1, 115) = ( 1 x 115 ) / 115

GCD(1, 115) = 115 / 115

GCD(1, 115) = 1

GCD of 755, 689, 78, 115 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 508, 91, 559
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• GCD of 830, 186, 21, 958

1. What is the GCD of 755, 689, 78, 115?

GCD of 755, 689, 78, 115 is 1

2. Where do I get the detailed procedure to find GCD of 755, 689, 78, 115?

You can find a detailed procedure to find GCD of 755, 689, 78, 115 on our page.

3. How to find GCD of 755, 689, 78, 115 on a calculator?

You can find the GCD of 755, 689, 78, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.