GCD of 969, 251, 825, 465 Calculator

Given Input numbers are 969, 251, 825, 465

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

Divisors of 969

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

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

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 969, 251, 825, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 251, 825, 465 is 1.

Therefore, GCD of numbers 969, 251, 825, 465 is 1

Given Input Data is 969, 251, 825, 465

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

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 251 is 251

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 465 is 3 x 5 x 31

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(969, 251) = 243219

GCD(969, 251) = ( 969 x 251 ) / 243219

GCD(969, 251) = 243219 / 243219

GCD(969, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 969, 251, 825, 465 is 1

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1. What is the GCD of 969, 251, 825, 465?

GCD of 969, 251, 825, 465 is 1

2. Where do I get the detailed procedure to find GCD of 969, 251, 825, 465?

You can find a detailed procedure to find GCD of 969, 251, 825, 465 on our page.

3. How to find GCD of 969, 251, 825, 465 on a calculator?

You can find the GCD of 969, 251, 825, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.