GCD of 378, 690, 310, 573 Calculator

Given Input numbers are 378, 690, 310, 573

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Greatest Common Divisior

We found the divisors of 378, 690, 310, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 690, 310, 573 is 1.

Therefore, GCD of numbers 378, 690, 310, 573 is 1

Given Input Data is 378, 690, 310, 573

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 573 is 3 x 191

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(378, 690) = 43470

GCD(378, 690) = ( 378 x 690 ) / 43470

GCD(378, 690) = 260820 / 43470

GCD(378, 690) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 310

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

LCM(6, 310) = 930

GCD(6, 310) = ( 6 x 310 ) / 930

GCD(6, 310) = 1860 / 930

GCD(6, 310) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 573

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

LCM(2, 573) = 1146

GCD(2, 573) = ( 2 x 573 ) / 1146

GCD(2, 573) = 1146 / 1146

GCD(2, 573) = 1

GCD of 378, 690, 310, 573 is 1

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1. What is the GCD of 378, 690, 310, 573?

GCD of 378, 690, 310, 573 is 1

2. Where do I get the detailed procedure to find GCD of 378, 690, 310, 573?

You can find a detailed procedure to find GCD of 378, 690, 310, 573 on our page.

3. How to find GCD of 378, 690, 310, 573 on a calculator?

You can find the GCD of 378, 690, 310, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.