GCD of 49, 986, 792, 149 Calculator

Given Input numbers are 49, 986, 792, 149

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 149

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

1, 149

Greatest Common Divisior

We found the divisors of 49, 986, 792, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 986, 792, 149 is 1.

Therefore, GCD of numbers 49, 986, 792, 149 is 1

Given Input Data is 49, 986, 792, 149

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 149 is 149

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(49, 986) = 48314

GCD(49, 986) = ( 49 x 986 ) / 48314

GCD(49, 986) = 48314 / 48314

GCD(49, 986) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 792

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

LCM(1, 792) = 792

GCD(1, 792) = ( 1 x 792 ) / 792

GCD(1, 792) = 792 / 792

GCD(1, 792) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 49, 986, 792, 149 is 1

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• GCD of 27, 443, 500, 916
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1. What is the GCD of 49, 986, 792, 149?

GCD of 49, 986, 792, 149 is 1

2. Where do I get the detailed procedure to find GCD of 49, 986, 792, 149?

You can find a detailed procedure to find GCD of 49, 986, 792, 149 on our page.

3. How to find GCD of 49, 986, 792, 149 on a calculator?

You can find the GCD of 49, 986, 792, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.