GCD of 742, 989, 54, 330 Calculator

Given Input numbers are 742, 989, 54, 330

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 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

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 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 742, 989, 54, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 989, 54, 330 is 1.

Therefore, GCD of numbers 742, 989, 54, 330 is 1

Given Input Data is 742, 989, 54, 330

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 989 is 23 x 43

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

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, 989) = 733838

GCD(742, 989) = ( 742 x 989 ) / 733838

GCD(742, 989) = 733838 / 733838

GCD(742, 989) = 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 330

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

LCM(1, 330) = 330

GCD(1, 330) = ( 1 x 330 ) / 330

GCD(1, 330) = 330 / 330

GCD(1, 330) = 1

GCD of 742, 989, 54, 330 is 1

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1. What is the GCD of 742, 989, 54, 330?

GCD of 742, 989, 54, 330 is 1

2. Where do I get the detailed procedure to find GCD of 742, 989, 54, 330?

You can find a detailed procedure to find GCD of 742, 989, 54, 330 on our page.

3. How to find GCD of 742, 989, 54, 330 on a calculator?

You can find the GCD of 742, 989, 54, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.