GCD of 712, 860, 29, 189 Calculator

Given Input numbers are 712, 860, 29, 189

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Greatest Common Divisior

We found the divisors of 712, 860, 29, 189 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 860, 29, 189 is 1.

Therefore, GCD of numbers 712, 860, 29, 189 is 1

Given Input Data is 712, 860, 29, 189

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 29 is 29

Prime Factorization of 189 is 3 x 3 x 3 x 7

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(712, 860) = 153080

GCD(712, 860) = ( 712 x 860 ) / 153080

GCD(712, 860) = 612320 / 153080

GCD(712, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

GCD of 712, 860, 29, 189 is 1

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• GCD of 629, 419, 97, 912
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1. What is the GCD of 712, 860, 29, 189?

GCD of 712, 860, 29, 189 is 1

2. Where do I get the detailed procedure to find GCD of 712, 860, 29, 189?

You can find a detailed procedure to find GCD of 712, 860, 29, 189 on our page.

3. How to find GCD of 712, 860, 29, 189 on a calculator?

You can find the GCD of 712, 860, 29, 189 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.