GCD of 690, 219, 117, 670 Calculator

Given Input numbers are 690, 219, 117, 670

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

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 219

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

1, 3, 73, 219

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 690, 219, 117, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 690, 219, 117, 670 is 1.

Therefore, GCD of numbers 690, 219, 117, 670 is 1

Given Input Data is 690, 219, 117, 670

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

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 219 is 3 x 73

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 670 is 2 x 5 x 67

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(690, 219) = 50370

GCD(690, 219) = ( 690 x 219 ) / 50370

GCD(690, 219) = 151110 / 50370

GCD(690, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 117

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

LCM(3, 117) = 117

GCD(3, 117) = ( 3 x 117 ) / 117

GCD(3, 117) = 351 / 117

GCD(3, 117) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 670

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

LCM(3, 670) = 2010

GCD(3, 670) = ( 3 x 670 ) / 2010

GCD(3, 670) = 2010 / 2010

GCD(3, 670) = 1

GCD of 690, 219, 117, 670 is 1

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1. What is the GCD of 690, 219, 117, 670?

GCD of 690, 219, 117, 670 is 1

2. Where do I get the detailed procedure to find GCD of 690, 219, 117, 670?

You can find a detailed procedure to find GCD of 690, 219, 117, 670 on our page.

3. How to find GCD of 690, 219, 117, 670 on a calculator?

You can find the GCD of 690, 219, 117, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.