GCD of 388, 960, 974, 193 Calculator

Given Input numbers are 388, 960, 974, 193

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 388, 960, 974, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 960, 974, 193 is 1.

Therefore, GCD of numbers 388, 960, 974, 193 is 1

Given Input Data is 388, 960, 974, 193

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

Prime Factorization of 388 is 2 x 2 x 97

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 193 is 193

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(388, 960) = 93120

GCD(388, 960) = ( 388 x 960 ) / 93120

GCD(388, 960) = 372480 / 93120

GCD(388, 960) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 974

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

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

GCD(4, 974) = 3896 / 1948

GCD(4, 974) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 193

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

LCM(2, 193) = 386

GCD(2, 193) = ( 2 x 193 ) / 386

GCD(2, 193) = 386 / 386

GCD(2, 193) = 1

GCD of 388, 960, 974, 193 is 1

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1. What is the GCD of 388, 960, 974, 193?

GCD of 388, 960, 974, 193 is 1

2. Where do I get the detailed procedure to find GCD of 388, 960, 974, 193?

You can find a detailed procedure to find GCD of 388, 960, 974, 193 on our page.

3. How to find GCD of 388, 960, 974, 193 on a calculator?

You can find the GCD of 388, 960, 974, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.