GCD of 952, 111, 22, 998 Calculator

Given Input numbers are 952, 111, 22, 998

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 952, 111, 22, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 111, 22, 998 is 1.

Therefore, GCD of numbers 952, 111, 22, 998 is 1

Given Input Data is 952, 111, 22, 998

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 111 is 3 x 37

Prime Factorization of 22 is 2 x 11

Prime Factorization of 998 is 2 x 499

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(952, 111) = 105672

GCD(952, 111) = ( 952 x 111 ) / 105672

GCD(952, 111) = 105672 / 105672

GCD(952, 111) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 952, 111, 22, 998 is 1

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1. What is the GCD of 952, 111, 22, 998?

GCD of 952, 111, 22, 998 is 1

2. Where do I get the detailed procedure to find GCD of 952, 111, 22, 998?

You can find a detailed procedure to find GCD of 952, 111, 22, 998 on our page.

3. How to find GCD of 952, 111, 22, 998 on a calculator?

You can find the GCD of 952, 111, 22, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.