GCD of 357, 814, 706 Calculator

Given Input numbers are 357, 814, 706

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 357, 814, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 814, 706 is 1.

Therefore, GCD of numbers 357, 814, 706 is 1

Given Input Data is 357, 814, 706

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 706 is 2 x 353

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(357, 814) = 290598

GCD(357, 814) = ( 357 x 814 ) / 290598

GCD(357, 814) = 290598 / 290598

GCD(357, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 357, 814, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 972, 701
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1. What is the GCD of 357, 814, 706?

GCD of 357, 814, 706 is 1

2. Where do I get the detailed procedure to find GCD of 357, 814, 706?

You can find a detailed procedure to find GCD of 357, 814, 706 on our page.

3. How to find GCD of 357, 814, 706 on a calculator?

You can find the GCD of 357, 814, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.