GCD of 470, 718, 67, 219 Calculator

Given Input numbers are 470, 718, 67, 219

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 718

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

1, 2, 359, 718

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 470, 718, 67, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 718, 67, 219 is 1.

Therefore, GCD of numbers 470, 718, 67, 219 is 1

Given Input Data is 470, 718, 67, 219

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 718 is 2 x 359

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(470, 718) = 168730

GCD(470, 718) = ( 470 x 718 ) / 168730

GCD(470, 718) = 337460 / 168730

GCD(470, 718) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 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 470, 718, 67, 219 is 1

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• GCD of 752, 525, 12, 665
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1. What is the GCD of 470, 718, 67, 219?

GCD of 470, 718, 67, 219 is 1

2. Where do I get the detailed procedure to find GCD of 470, 718, 67, 219?

You can find a detailed procedure to find GCD of 470, 718, 67, 219 on our page.

3. How to find GCD of 470, 718, 67, 219 on a calculator?

You can find the GCD of 470, 718, 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.