GCD of 141, 706, 984, 406 Calculator

Given Input numbers are 141, 706, 984, 406

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

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 406

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

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

Greatest Common Divisior

We found the divisors of 141, 706, 984, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 706, 984, 406 is 1.

Therefore, GCD of numbers 141, 706, 984, 406 is 1

Given Input Data is 141, 706, 984, 406

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 706 is 2 x 353

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 406 is 2 x 7 x 29

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(141, 706) = 99546

GCD(141, 706) = ( 141 x 706 ) / 99546

GCD(141, 706) = 99546 / 99546

GCD(141, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 406

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

LCM(1, 406) = 406

GCD(1, 406) = ( 1 x 406 ) / 406

GCD(1, 406) = 406 / 406

GCD(1, 406) = 1

GCD of 141, 706, 984, 406 is 1

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1. What is the GCD of 141, 706, 984, 406?

GCD of 141, 706, 984, 406 is 1

2. Where do I get the detailed procedure to find GCD of 141, 706, 984, 406?

You can find a detailed procedure to find GCD of 141, 706, 984, 406 on our page.

3. How to find GCD of 141, 706, 984, 406 on a calculator?

You can find the GCD of 141, 706, 984, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.