GCD of 742, 496, 979, 330 Calculator

Given Input numbers are 742, 496, 979, 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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

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, 496, 979, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 496, 979, 330 is 1.

Therefore, GCD of numbers 742, 496, 979, 330 is 1

Given Input Data is 742, 496, 979, 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 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 979 is 11 x 89

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, 496) = 184016

GCD(742, 496) = ( 742 x 496 ) / 184016

GCD(742, 496) = 368032 / 184016

GCD(742, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 979

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

LCM(2, 979) = 1958

GCD(2, 979) = ( 2 x 979 ) / 1958

GCD(2, 979) = 1958 / 1958

GCD(2, 979) = 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, 496, 979, 330 is 1

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1. What is the GCD of 742, 496, 979, 330?

GCD of 742, 496, 979, 330 is 1

2. Where do I get the detailed procedure to find GCD of 742, 496, 979, 330?

You can find a detailed procedure to find GCD of 742, 496, 979, 330 on our page.

3. How to find GCD of 742, 496, 979, 330 on a calculator?

You can find the GCD of 742, 496, 979, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.