GCD of 954, 738, 73, 344 Calculator

Given Input numbers are 954, 738, 73, 344

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

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 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 954, 738, 73, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 738, 73, 344 is 1.

Therefore, GCD of numbers 954, 738, 73, 344 is 1

Given Input Data is 954, 738, 73, 344

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

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

Prime Factorization of 738 is 2 x 3 x 3 x 41

Prime Factorization of 73 is 73

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(954, 738) = 39114

GCD(954, 738) = ( 954 x 738 ) / 39114

GCD(954, 738) = 704052 / 39114

GCD(954, 738) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 73

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

LCM(18, 73) = 1314

GCD(18, 73) = ( 18 x 73 ) / 1314

GCD(18, 73) = 1314 / 1314

GCD(18, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

GCD of 954, 738, 73, 344 is 1

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• GCD of 508, 166, 67, 577
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• GCD of 651, 172, 25, 812

1. What is the GCD of 954, 738, 73, 344?

GCD of 954, 738, 73, 344 is 1

2. Where do I get the detailed procedure to find GCD of 954, 738, 73, 344?

You can find a detailed procedure to find GCD of 954, 738, 73, 344 on our page.

3. How to find GCD of 954, 738, 73, 344 on a calculator?

You can find the GCD of 954, 738, 73, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.