GCD of 946, 573, 585, 340 Calculator

Given Input numbers are 946, 573, 585, 340

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 573

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

1, 3, 191, 573

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 946, 573, 585, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 573, 585, 340 is 1.

Therefore, GCD of numbers 946, 573, 585, 340 is 1

Given Input Data is 946, 573, 585, 340

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 573 is 3 x 191

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 340 is 2 x 2 x 5 x 17

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(946, 573) = 542058

GCD(946, 573) = ( 946 x 573 ) / 542058

GCD(946, 573) = 542058 / 542058

GCD(946, 573) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 946, 573, 585, 340 is 1

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1. What is the GCD of 946, 573, 585, 340?

GCD of 946, 573, 585, 340 is 1

2. Where do I get the detailed procedure to find GCD of 946, 573, 585, 340?

You can find a detailed procedure to find GCD of 946, 573, 585, 340 on our page.

3. How to find GCD of 946, 573, 585, 340 on a calculator?

You can find the GCD of 946, 573, 585, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.