GCD of 742, 165, 976, 904 Calculator

Given Input numbers are 742, 165, 976, 904

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Greatest Common Divisior

We found the divisors of 742, 165, 976, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 165, 976, 904 is 1.

Therefore, GCD of numbers 742, 165, 976, 904 is 1

Given Input Data is 742, 165, 976, 904

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 904 is 2 x 2 x 2 x 113

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(742, 165) = 122430

GCD(742, 165) = ( 742 x 165 ) / 122430

GCD(742, 165) = 122430 / 122430

GCD(742, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 976

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

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

GCD(1, 976) = 976 / 976

GCD(1, 976) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

GCD of 742, 165, 976, 904 is 1

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1. What is the GCD of 742, 165, 976, 904?

GCD of 742, 165, 976, 904 is 1

2. Where do I get the detailed procedure to find GCD of 742, 165, 976, 904?

You can find a detailed procedure to find GCD of 742, 165, 976, 904 on our page.

3. How to find GCD of 742, 165, 976, 904 on a calculator?

You can find the GCD of 742, 165, 976, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.