GCD of 67, 215, 180, 702 Calculator

Given Input numbers are 67, 215, 180, 702

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 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 67, 215, 180, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 215, 180, 702 is 1.

Therefore, GCD of numbers 67, 215, 180, 702 is 1

Given Input Data is 67, 215, 180, 702

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

Prime Factorization of 67 is 67

Prime Factorization of 215 is 5 x 43

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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, 215) = 14405

GCD(67, 215) = ( 67 x 215 ) / 14405

GCD(67, 215) = 14405 / 14405

GCD(67, 215) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 180

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

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

GCD(1, 180) = 180 / 180

GCD(1, 180) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 702

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

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

GCD(1, 702) = 702 / 702

GCD(1, 702) = 1

GCD of 67, 215, 180, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 910, 174, 941
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• GCD of 84, 857, 876, 153

1. What is the GCD of 67, 215, 180, 702?

GCD of 67, 215, 180, 702 is 1

2. Where do I get the detailed procedure to find GCD of 67, 215, 180, 702?

You can find a detailed procedure to find GCD of 67, 215, 180, 702 on our page.

3. How to find GCD of 67, 215, 180, 702 on a calculator?

You can find the GCD of 67, 215, 180, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.