GCD of 779, 969, 37, 954 Calculator

Given Input numbers are 779, 969, 37, 954

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

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Greatest Common Divisior

We found the divisors of 779, 969, 37, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 969, 37, 954 is 1.

Therefore, GCD of numbers 779, 969, 37, 954 is 1

Given Input Data is 779, 969, 37, 954

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 37 is 37

Prime Factorization of 954 is 2 x 3 x 3 x 53

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(779, 969) = 39729

GCD(779, 969) = ( 779 x 969 ) / 39729

GCD(779, 969) = 754851 / 39729

GCD(779, 969) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 37

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

LCM(19, 37) = 703

GCD(19, 37) = ( 19 x 37 ) / 703

GCD(19, 37) = 703 / 703

GCD(19, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 779, 969, 37, 954 is 1

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1. What is the GCD of 779, 969, 37, 954?

GCD of 779, 969, 37, 954 is 1

2. Where do I get the detailed procedure to find GCD of 779, 969, 37, 954?

You can find a detailed procedure to find GCD of 779, 969, 37, 954 on our page.

3. How to find GCD of 779, 969, 37, 954 on a calculator?

You can find the GCD of 779, 969, 37, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.