GCD of 222, 718, 29, 949 Calculator

Given Input numbers are 222, 718, 29, 949

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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 222, 718, 29, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 718, 29, 949 is 1.

Therefore, GCD of numbers 222, 718, 29, 949 is 1

Given Input Data is 222, 718, 29, 949

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 718 is 2 x 359

Prime Factorization of 29 is 29

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(222, 718) = 79698

GCD(222, 718) = ( 222 x 718 ) / 79698

GCD(222, 718) = 159396 / 79698

GCD(222, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 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 222, 718, 29, 949 is 1

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1. What is the GCD of 222, 718, 29, 949?

GCD of 222, 718, 29, 949 is 1

2. Where do I get the detailed procedure to find GCD of 222, 718, 29, 949?

You can find a detailed procedure to find GCD of 222, 718, 29, 949 on our page.

3. How to find GCD of 222, 718, 29, 949 on a calculator?

You can find the GCD of 222, 718, 29, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.