GCD of 969, 522, 34, 760 Calculator

Given Input numbers are 969, 522, 34, 760

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 969, 522, 34, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 969, 522, 34, 760 is 1.

Therefore, GCD of numbers 969, 522, 34, 760 is 1

Given Input Data is 969, 522, 34, 760

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 522 is 2 x 3 x 3 x 29

Prime Factorization of 34 is 2 x 17

Prime Factorization of 760 is 2 x 2 x 2 x 5 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(969, 522) = 168606

GCD(969, 522) = ( 969 x 522 ) / 168606

GCD(969, 522) = 505818 / 168606

GCD(969, 522) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 34

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

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

GCD(3, 34) = 102 / 102

GCD(3, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 969, 522, 34, 760 is 1

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1. What is the GCD of 969, 522, 34, 760?

GCD of 969, 522, 34, 760 is 1

2. Where do I get the detailed procedure to find GCD of 969, 522, 34, 760?

You can find a detailed procedure to find GCD of 969, 522, 34, 760 on our page.

3. How to find GCD of 969, 522, 34, 760 on a calculator?

You can find the GCD of 969, 522, 34, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.