GCD of 969, 425, 777, 854 Calculator

Given Input numbers are 969, 425, 777, 854

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 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 969, 425, 777, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 425, 777, 854 is 1.

Therefore, GCD of numbers 969, 425, 777, 854 is 1

Given Input Data is 969, 425, 777, 854

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 425 is 5 x 5 x 17

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 854 is 2 x 7 x 61

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, 425) = 24225

GCD(969, 425) = ( 969 x 425 ) / 24225

GCD(969, 425) = 411825 / 24225

GCD(969, 425) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 777

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

LCM(17, 777) = 13209

GCD(17, 777) = ( 17 x 777 ) / 13209

GCD(17, 777) = 13209 / 13209

GCD(17, 777) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

GCD of 969, 425, 777, 854 is 1

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1. What is the GCD of 969, 425, 777, 854?

GCD of 969, 425, 777, 854 is 1

2. Where do I get the detailed procedure to find GCD of 969, 425, 777, 854?

You can find a detailed procedure to find GCD of 969, 425, 777, 854 on our page.

3. How to find GCD of 969, 425, 777, 854 on a calculator?

You can find the GCD of 969, 425, 777, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.