GCD of 721, 190, 67, 998 Calculator

Given Input numbers are 721, 190, 67, 998

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

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 721, 190, 67, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 190, 67, 998 is 1.

Therefore, GCD of numbers 721, 190, 67, 998 is 1

Given Input Data is 721, 190, 67, 998

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 67 is 67

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(721, 190) = 136990

GCD(721, 190) = ( 721 x 190 ) / 136990

GCD(721, 190) = 136990 / 136990

GCD(721, 190) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 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 721, 190, 67, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 111, 74, 964
• GCD of 499, 127, 29, 760
• GCD of 789, 396, 94, 579
• GCD of 570, 574, 61, 116
• GCD of 893, 339, 76, 313

1. What is the GCD of 721, 190, 67, 998?

GCD of 721, 190, 67, 998 is 1

2. Where do I get the detailed procedure to find GCD of 721, 190, 67, 998?

You can find a detailed procedure to find GCD of 721, 190, 67, 998 on our page.

3. How to find GCD of 721, 190, 67, 998 on a calculator?

You can find the GCD of 721, 190, 67, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.