GCD of 145, 734, 54, 322 Calculator

Given Input numbers are 145, 734, 54, 322

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 145, 734, 54, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 734, 54, 322 is 1.

Therefore, GCD of numbers 145, 734, 54, 322 is 1

Given Input Data is 145, 734, 54, 322

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 734 is 2 x 367

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 322 is 2 x 7 x 23

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(145, 734) = 106430

GCD(145, 734) = ( 145 x 734 ) / 106430

GCD(145, 734) = 106430 / 106430

GCD(145, 734) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 145, 734, 54, 322 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 989, 687, 77, 392
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• GCD of 932, 417, 63, 817
• GCD of 946, 928, 34, 916

1. What is the GCD of 145, 734, 54, 322?

GCD of 145, 734, 54, 322 is 1

2. Where do I get the detailed procedure to find GCD of 145, 734, 54, 322?

You can find a detailed procedure to find GCD of 145, 734, 54, 322 on our page.

3. How to find GCD of 145, 734, 54, 322 on a calculator?

You can find the GCD of 145, 734, 54, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.