GCD of 145, 902, 75, 969 Calculator

Given Input numbers are 145, 902, 75, 969

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 145, 902, 75, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 902, 75, 969 is 1.

Therefore, GCD of numbers 145, 902, 75, 969 is 1

Given Input Data is 145, 902, 75, 969

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 75 is 3 x 5 x 5

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(145, 902) = 130790

GCD(145, 902) = ( 145 x 902 ) / 130790

GCD(145, 902) = 130790 / 130790

GCD(145, 902) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 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 145, 902, 75, 969 is 1

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1. What is the GCD of 145, 902, 75, 969?

GCD of 145, 902, 75, 969 is 1

2. Where do I get the detailed procedure to find GCD of 145, 902, 75, 969?

You can find a detailed procedure to find GCD of 145, 902, 75, 969 on our page.

3. How to find GCD of 145, 902, 75, 969 on a calculator?

You can find the GCD of 145, 902, 75, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.