GCD of 702, 215, 674, 714 Calculator

Given Input numbers are 702, 215, 674, 714

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 215

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

1, 5, 43, 215

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 702, 215, 674, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 215, 674, 714 is 1.

Therefore, GCD of numbers 702, 215, 674, 714 is 1

Given Input Data is 702, 215, 674, 714

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 215 is 5 x 43

Prime Factorization of 674 is 2 x 337

Prime Factorization of 714 is 2 x 3 x 7 x 17

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, 215) = 150930

GCD(702, 215) = ( 702 x 215 ) / 150930

GCD(702, 215) = 150930 / 150930

GCD(702, 215) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 702, 215, 674, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 293, 639, 679
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• GCD of 999, 360, 984, 499

1. What is the GCD of 702, 215, 674, 714?

GCD of 702, 215, 674, 714 is 1

2. Where do I get the detailed procedure to find GCD of 702, 215, 674, 714?

You can find a detailed procedure to find GCD of 702, 215, 674, 714 on our page.

3. How to find GCD of 702, 215, 674, 714 on a calculator?

You can find the GCD of 702, 215, 674, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.