GCD of 354, 185, 712 Calculator

Given Input numbers are 354, 185, 712

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 712

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

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

Greatest Common Divisior

We found the divisors of 354, 185, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 185, 712 is 1.

Therefore, GCD of numbers 354, 185, 712 is 1

Given Input Data is 354, 185, 712

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 185 is 5 x 37

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

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(354, 185) = 65490

GCD(354, 185) = ( 354 x 185 ) / 65490

GCD(354, 185) = 65490 / 65490

GCD(354, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 354, 185, 712 is 1

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1. What is the GCD of 354, 185, 712?

GCD of 354, 185, 712 is 1

2. Where do I get the detailed procedure to find GCD of 354, 185, 712?

You can find a detailed procedure to find GCD of 354, 185, 712 on our page.

3. How to find GCD of 354, 185, 712 on a calculator?

You can find the GCD of 354, 185, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.