GCD of 986, 149, 424, 747 Calculator

Given Input numbers are 986, 149, 424, 747

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

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 986, 149, 424, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 986, 149, 424, 747 is 1.

Therefore, GCD of numbers 986, 149, 424, 747 is 1

Given Input Data is 986, 149, 424, 747

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

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 149 is 149

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 747 is 3 x 3 x 83

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(986, 149) = 146914

GCD(986, 149) = ( 986 x 149 ) / 146914

GCD(986, 149) = 146914 / 146914

GCD(986, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 424

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

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

GCD(1, 424) = 424 / 424

GCD(1, 424) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 986, 149, 424, 747 is 1

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1. What is the GCD of 986, 149, 424, 747?

GCD of 986, 149, 424, 747 is 1

2. Where do I get the detailed procedure to find GCD of 986, 149, 424, 747?

You can find a detailed procedure to find GCD of 986, 149, 424, 747 on our page.

3. How to find GCD of 986, 149, 424, 747 on a calculator?

You can find the GCD of 986, 149, 424, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.