GCD of 694, 160, 347, 213 Calculator

Given Input numbers are 694, 160, 347, 213

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 694, 160, 347, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 160, 347, 213 is 1.

Therefore, GCD of numbers 694, 160, 347, 213 is 1

Given Input Data is 694, 160, 347, 213

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 347 is 347

Prime Factorization of 213 is 3 x 71

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(694, 160) = 55520

GCD(694, 160) = ( 694 x 160 ) / 55520

GCD(694, 160) = 111040 / 55520

GCD(694, 160) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 347

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

LCM(2, 347) = 694

GCD(2, 347) = ( 2 x 347 ) / 694

GCD(2, 347) = 694 / 694

GCD(2, 347) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 694, 160, 347, 213 is 1

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1. What is the GCD of 694, 160, 347, 213?

GCD of 694, 160, 347, 213 is 1

2. Where do I get the detailed procedure to find GCD of 694, 160, 347, 213?

You can find a detailed procedure to find GCD of 694, 160, 347, 213 on our page.

3. How to find GCD of 694, 160, 347, 213 on a calculator?

You can find the GCD of 694, 160, 347, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.