GCD of 741, 406, 772, 968 Calculator

Given Input numbers are 741, 406, 772, 968

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

Divisors of 741

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

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 741, 406, 772, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 406, 772, 968 is 1.

Therefore, GCD of numbers 741, 406, 772, 968 is 1

Given Input Data is 741, 406, 772, 968

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

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 968 is 2 x 2 x 2 x 11 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(741, 406) = 300846

GCD(741, 406) = ( 741 x 406 ) / 300846

GCD(741, 406) = 300846 / 300846

GCD(741, 406) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 741, 406, 772, 968 is 1

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1. What is the GCD of 741, 406, 772, 968?

GCD of 741, 406, 772, 968 is 1

2. Where do I get the detailed procedure to find GCD of 741, 406, 772, 968?

You can find a detailed procedure to find GCD of 741, 406, 772, 968 on our page.

3. How to find GCD of 741, 406, 772, 968 on a calculator?

You can find the GCD of 741, 406, 772, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.