GCD of 702, 217, 69, 325 Calculator

Given Input numbers are 702, 217, 69, 325

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

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 702, 217, 69, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 217, 69, 325 is 1.

Therefore, GCD of numbers 702, 217, 69, 325 is 1

Given Input Data is 702, 217, 69, 325

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

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 69 is 3 x 23

Prime Factorization of 325 is 5 x 5 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(702, 217) = 152334

GCD(702, 217) = ( 702 x 217 ) / 152334

GCD(702, 217) = 152334 / 152334

GCD(702, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 325

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

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

GCD(1, 325) = 325 / 325

GCD(1, 325) = 1

GCD of 702, 217, 69, 325 is 1

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1. What is the GCD of 702, 217, 69, 325?

GCD of 702, 217, 69, 325 is 1

2. Where do I get the detailed procedure to find GCD of 702, 217, 69, 325?

You can find a detailed procedure to find GCD of 702, 217, 69, 325 on our page.

3. How to find GCD of 702, 217, 69, 325 on a calculator?

You can find the GCD of 702, 217, 69, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.