GCD of 755, 115, 701, 969 Calculator

Given Input numbers are 755, 115, 701, 969

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 115

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

1, 5, 23, 115

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 755, 115, 701, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 115, 701, 969 is 1.

Therefore, GCD of numbers 755, 115, 701, 969 is 1

Given Input Data is 755, 115, 701, 969

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 115 is 5 x 23

Prime Factorization of 701 is 701

Prime Factorization of 969 is 3 x 17 x 19

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, 115) = 17365

GCD(755, 115) = ( 755 x 115 ) / 17365

GCD(755, 115) = 86825 / 17365

GCD(755, 115) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 701

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

LCM(5, 701) = 3505

GCD(5, 701) = ( 5 x 701 ) / 3505

GCD(5, 701) = 3505 / 3505

GCD(5, 701) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

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

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 755, 115, 701, 969 is 1

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1. What is the GCD of 755, 115, 701, 969?

GCD of 755, 115, 701, 969 is 1

2. Where do I get the detailed procedure to find GCD of 755, 115, 701, 969?

You can find a detailed procedure to find GCD of 755, 115, 701, 969 on our page.

3. How to find GCD of 755, 115, 701, 969 on a calculator?

You can find the GCD of 755, 115, 701, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.