GCD of 67, 200, 145, 219 Calculator

Given Input numbers are 67, 200, 145, 219

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

Divisors of 67

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

1, 67

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 67, 200, 145, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 200, 145, 219 is 1.

Therefore, GCD of numbers 67, 200, 145, 219 is 1

Given Input Data is 67, 200, 145, 219

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

Prime Factorization of 67 is 67

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 145 is 5 x 29

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(67, 200) = 13400

GCD(67, 200) = ( 67 x 200 ) / 13400

GCD(67, 200) = 13400 / 13400

GCD(67, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 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 67, 200, 145, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 887, 364, 341
• GCD of 75, 154, 193, 334
• GCD of 94, 633, 833, 537
• GCD of 13, 665, 506, 189
• GCD of 95, 373, 930, 320

1. What is the GCD of 67, 200, 145, 219?

GCD of 67, 200, 145, 219 is 1

2. Where do I get the detailed procedure to find GCD of 67, 200, 145, 219?

You can find a detailed procedure to find GCD of 67, 200, 145, 219 on our page.

3. How to find GCD of 67, 200, 145, 219 on a calculator?

You can find the GCD of 67, 200, 145, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.