GCD of 722, 986, 46, 281 Calculator

Given Input numbers are 722, 986, 46, 281

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 722, 986, 46, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 986, 46, 281 is 1.

Therefore, GCD of numbers 722, 986, 46, 281 is 1

Given Input Data is 722, 986, 46, 281

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 46 is 2 x 23

Prime Factorization of 281 is 281

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(722, 986) = 355946

GCD(722, 986) = ( 722 x 986 ) / 355946

GCD(722, 986) = 711892 / 355946

GCD(722, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 281

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

LCM(2, 281) = 562

GCD(2, 281) = ( 2 x 281 ) / 562

GCD(2, 281) = 562 / 562

GCD(2, 281) = 1

GCD of 722, 986, 46, 281 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 672, 361, 89, 814
• GCD of 955, 208, 83, 884
• GCD of 372, 469, 48, 296
• GCD of 134, 896, 53, 921
• GCD of 476, 729, 45, 656

1. What is the GCD of 722, 986, 46, 281?

GCD of 722, 986, 46, 281 is 1

2. Where do I get the detailed procedure to find GCD of 722, 986, 46, 281?

You can find a detailed procedure to find GCD of 722, 986, 46, 281 on our page.

3. How to find GCD of 722, 986, 46, 281 on a calculator?

You can find the GCD of 722, 986, 46, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.