GCD of 189, 998, 70, 826 Calculator

Given Input numbers are 189, 998, 70, 826

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 998

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

1, 2, 499, 998

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Greatest Common Divisior

We found the divisors of 189, 998, 70, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 998, 70, 826 is 1.

Therefore, GCD of numbers 189, 998, 70, 826 is 1

Given Input Data is 189, 998, 70, 826

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 998 is 2 x 499

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 826 is 2 x 7 x 59

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(189, 998) = 188622

GCD(189, 998) = ( 189 x 998 ) / 188622

GCD(189, 998) = 188622 / 188622

GCD(189, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 189, 998, 70, 826 is 1

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1. What is the GCD of 189, 998, 70, 826?

GCD of 189, 998, 70, 826 is 1

2. Where do I get the detailed procedure to find GCD of 189, 998, 70, 826?

You can find a detailed procedure to find GCD of 189, 998, 70, 826 on our page.

3. How to find GCD of 189, 998, 70, 826 on a calculator?

You can find the GCD of 189, 998, 70, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.