GCD of 354, 480, 710, 185 Calculator

Given Input numbers are 354, 480, 710, 185

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 185

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

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 354, 480, 710, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 480, 710, 185 is 1.

Therefore, GCD of numbers 354, 480, 710, 185 is 1

Given Input Data is 354, 480, 710, 185

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 185 is 5 x 37

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, 480) = 28320

GCD(354, 480) = ( 354 x 480 ) / 28320

GCD(354, 480) = 169920 / 28320

GCD(354, 480) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 710

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

LCM(6, 710) = 2130

GCD(6, 710) = ( 6 x 710 ) / 2130

GCD(6, 710) = 4260 / 2130

GCD(6, 710) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 354, 480, 710, 185 is 1

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1. What is the GCD of 354, 480, 710, 185?

GCD of 354, 480, 710, 185 is 1

2. Where do I get the detailed procedure to find GCD of 354, 480, 710, 185?

You can find a detailed procedure to find GCD of 354, 480, 710, 185 on our page.

3. How to find GCD of 354, 480, 710, 185 on a calculator?

You can find the GCD of 354, 480, 710, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.