GCD of 992, 165, 72, 949 Calculator

Given Input numbers are 992, 165, 72, 949

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 992, 165, 72, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 165, 72, 949 is 1.

Therefore, GCD of numbers 992, 165, 72, 949 is 1

Given Input Data is 992, 165, 72, 949

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 949 is 13 x 73

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(992, 165) = 163680

GCD(992, 165) = ( 992 x 165 ) / 163680

GCD(992, 165) = 163680 / 163680

GCD(992, 165) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 992, 165, 72, 949 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 151, 768, 98, 578
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• GCD of 395, 477, 78, 874

1. What is the GCD of 992, 165, 72, 949?

GCD of 992, 165, 72, 949 is 1

2. Where do I get the detailed procedure to find GCD of 992, 165, 72, 949?

You can find a detailed procedure to find GCD of 992, 165, 72, 949 on our page.

3. How to find GCD of 992, 165, 72, 949 on a calculator?

You can find the GCD of 992, 165, 72, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.