GCD of 165, 954, 395, 746 Calculator

Given Input numbers are 165, 954, 395, 746

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

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 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

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 165, 954, 395, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 954, 395, 746 is 1.

Therefore, GCD of numbers 165, 954, 395, 746 is 1

Given Input Data is 165, 954, 395, 746

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

Prime Factorization of 165 is 3 x 5 x 11

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 746 is 2 x 373

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(165, 954) = 52470

GCD(165, 954) = ( 165 x 954 ) / 52470

GCD(165, 954) = 157410 / 52470

GCD(165, 954) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 395

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

LCM(3, 395) = 1185

GCD(3, 395) = ( 3 x 395 ) / 1185

GCD(3, 395) = 1185 / 1185

GCD(3, 395) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 165, 954, 395, 746 is 1

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• GCD of 996, 120, 176, 259
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1. What is the GCD of 165, 954, 395, 746?

GCD of 165, 954, 395, 746 is 1

2. Where do I get the detailed procedure to find GCD of 165, 954, 395, 746?

You can find a detailed procedure to find GCD of 165, 954, 395, 746 on our page.

3. How to find GCD of 165, 954, 395, 746 on a calculator?

You can find the GCD of 165, 954, 395, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.