GCD of 249, 722, 67, 219 Calculator

Given Input numbers are 249, 722, 67, 219

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 67

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

1, 67

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 249, 722, 67, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 722, 67, 219 is 1.

Therefore, GCD of numbers 249, 722, 67, 219 is 1

Given Input Data is 249, 722, 67, 219

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 67 is 67

Prime Factorization of 219 is 3 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(249, 722) = 179778

GCD(249, 722) = ( 249 x 722 ) / 179778

GCD(249, 722) = 179778 / 179778

GCD(249, 722) = 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 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 249, 722, 67, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 139, 97, 890
• GCD of 724, 257, 44, 474
• GCD of 345, 971, 98, 293
• GCD of 355, 151, 61, 842
• GCD of 203, 608, 97, 904

1. What is the GCD of 249, 722, 67, 219?

GCD of 249, 722, 67, 219 is 1

2. Where do I get the detailed procedure to find GCD of 249, 722, 67, 219?

You can find a detailed procedure to find GCD of 249, 722, 67, 219 on our page.

3. How to find GCD of 249, 722, 67, 219 on a calculator?

You can find the GCD of 249, 722, 67, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.