GCD of 702, 338, 175, 279 Calculator

Given Input numbers are 702, 338, 175, 279

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 702, 338, 175, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 338, 175, 279 is 1.

Therefore, GCD of numbers 702, 338, 175, 279 is 1

Given Input Data is 702, 338, 175, 279

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 338 is 2 x 13 x 13

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 279 is 3 x 3 x 31

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, 338) = 9126

GCD(702, 338) = ( 702 x 338 ) / 9126

GCD(702, 338) = 237276 / 9126

GCD(702, 338) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 175

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

LCM(26, 175) = 4550

GCD(26, 175) = ( 26 x 175 ) / 4550

GCD(26, 175) = 4550 / 4550

GCD(26, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 702, 338, 175, 279 is 1

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1. What is the GCD of 702, 338, 175, 279?

GCD of 702, 338, 175, 279 is 1

2. Where do I get the detailed procedure to find GCD of 702, 338, 175, 279?

You can find a detailed procedure to find GCD of 702, 338, 175, 279 on our page.

3. How to find GCD of 702, 338, 175, 279 on a calculator?

You can find the GCD of 702, 338, 175, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.