GCD of 170, 218, 77, 702 Calculator

Given Input numbers are 170, 218, 77, 702

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 170, 218, 77, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 218, 77, 702 is 1.

Therefore, GCD of numbers 170, 218, 77, 702 is 1

Given Input Data is 170, 218, 77, 702

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 218 is 2 x 109

Prime Factorization of 77 is 7 x 11

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(170, 218) = 18530

GCD(170, 218) = ( 170 x 218 ) / 18530

GCD(170, 218) = 37060 / 18530

GCD(170, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 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 170, 218, 77, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 369, 89, 399
• GCD of 586, 230, 53, 705
• GCD of 147, 328, 75, 833
• GCD of 351, 791, 69, 763
• GCD of 254, 155, 94, 362

1. What is the GCD of 170, 218, 77, 702?

GCD of 170, 218, 77, 702 is 1

2. Where do I get the detailed procedure to find GCD of 170, 218, 77, 702?

You can find a detailed procedure to find GCD of 170, 218, 77, 702 on our page.

3. How to find GCD of 170, 218, 77, 702 on a calculator?

You can find the GCD of 170, 218, 77, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.