GCD of 960, 980, 57, 393 Calculator

Given Input numbers are 960, 980, 57, 393

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 960, 980, 57, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 980, 57, 393 is 1.

Therefore, GCD of numbers 960, 980, 57, 393 is 1

Given Input Data is 960, 980, 57, 393

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 57 is 3 x 19

Prime Factorization of 393 is 3 x 131

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(960, 980) = 47040

GCD(960, 980) = ( 960 x 980 ) / 47040

GCD(960, 980) = 940800 / 47040

GCD(960, 980) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 57

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

LCM(20, 57) = 1140

GCD(20, 57) = ( 20 x 57 ) / 1140

GCD(20, 57) = 1140 / 1140

GCD(20, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 393

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

LCM(1, 393) = 393

GCD(1, 393) = ( 1 x 393 ) / 393

GCD(1, 393) = 393 / 393

GCD(1, 393) = 1

GCD of 960, 980, 57, 393 is 1

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1. What is the GCD of 960, 980, 57, 393?

GCD of 960, 980, 57, 393 is 1

2. Where do I get the detailed procedure to find GCD of 960, 980, 57, 393?

You can find a detailed procedure to find GCD of 960, 980, 57, 393 on our page.

3. How to find GCD of 960, 980, 57, 393 on a calculator?

You can find the GCD of 960, 980, 57, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.