GCD of 193, 756, 989, 741 Calculator

Given Input numbers are 193, 756, 989, 741

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

Divisors of 193

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

1, 193

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 989

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

1, 23, 43, 989

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Greatest Common Divisior

We found the divisors of 193, 756, 989, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 193, 756, 989, 741 is 1.

Therefore, GCD of numbers 193, 756, 989, 741 is 1

Given Input Data is 193, 756, 989, 741

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

Prime Factorization of 193 is 193

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 989 is 23 x 43

Prime Factorization of 741 is 3 x 13 x 19

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(193, 756) = 145908

GCD(193, 756) = ( 193 x 756 ) / 145908

GCD(193, 756) = 145908 / 145908

GCD(193, 756) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 741

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

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

GCD(1, 741) = 741 / 741

GCD(1, 741) = 1

GCD of 193, 756, 989, 741 is 1

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1. What is the GCD of 193, 756, 989, 741?

GCD of 193, 756, 989, 741 is 1

2. Where do I get the detailed procedure to find GCD of 193, 756, 989, 741?

You can find a detailed procedure to find GCD of 193, 756, 989, 741 on our page.

3. How to find GCD of 193, 756, 989, 741 on a calculator?

You can find the GCD of 193, 756, 989, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.