GCD of 969, 364, 805, 254 Calculator

Given Input numbers are 969, 364, 805, 254

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 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 969, 364, 805, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 364, 805, 254 is 1.

Therefore, GCD of numbers 969, 364, 805, 254 is 1

Given Input Data is 969, 364, 805, 254

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 364 is 2 x 2 x 7 x 13

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 254 is 2 x 127

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, 364) = 352716

GCD(969, 364) = ( 969 x 364 ) / 352716

GCD(969, 364) = 352716 / 352716

GCD(969, 364) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 969, 364, 805, 254 is 1

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1. What is the GCD of 969, 364, 805, 254?

GCD of 969, 364, 805, 254 is 1

2. Where do I get the detailed procedure to find GCD of 969, 364, 805, 254?

You can find a detailed procedure to find GCD of 969, 364, 805, 254 on our page.

3. How to find GCD of 969, 364, 805, 254 on a calculator?

You can find the GCD of 969, 364, 805, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.