GCD of 704, 981, 742, 282 Calculator

Given Input numbers are 704, 981, 742, 282

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

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 981

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

1, 3, 9, 109, 327, 981

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 704, 981, 742, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 704, 981, 742, 282 is 1.

Therefore, GCD of numbers 704, 981, 742, 282 is 1

Given Input Data is 704, 981, 742, 282

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

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 282 is 2 x 3 x 47

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(704, 981) = 690624

GCD(704, 981) = ( 704 x 981 ) / 690624

GCD(704, 981) = 690624 / 690624

GCD(704, 981) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 704, 981, 742, 282 is 1

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1. What is the GCD of 704, 981, 742, 282?

GCD of 704, 981, 742, 282 is 1

2. Where do I get the detailed procedure to find GCD of 704, 981, 742, 282?

You can find a detailed procedure to find GCD of 704, 981, 742, 282 on our page.

3. How to find GCD of 704, 981, 742, 282 on a calculator?

You can find the GCD of 704, 981, 742, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.