GCD of 981, 434, 409, 746 Calculator

Given Input numbers are 981, 434, 409, 746

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 981, 434, 409, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 434, 409, 746 is 1.

Therefore, GCD of numbers 981, 434, 409, 746 is 1

Given Input Data is 981, 434, 409, 746

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 409 is 409

Prime Factorization of 746 is 2 x 373

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(981, 434) = 425754

GCD(981, 434) = ( 981 x 434 ) / 425754

GCD(981, 434) = 425754 / 425754

GCD(981, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 981, 434, 409, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 570, 132, 845, 764
• GCD of 141, 221, 515, 109
• GCD of 142, 594, 966, 825
• GCD of 417, 241, 788, 589
• GCD of 521, 373, 307, 444

1. What is the GCD of 981, 434, 409, 746?

GCD of 981, 434, 409, 746 is 1

2. Where do I get the detailed procedure to find GCD of 981, 434, 409, 746?

You can find a detailed procedure to find GCD of 981, 434, 409, 746 on our page.

3. How to find GCD of 981, 434, 409, 746 on a calculator?

You can find the GCD of 981, 434, 409, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.