GCD of 945, 343, 46, 573 Calculator

Given Input numbers are 945, 343, 46, 573

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

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 945, 343, 46, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 343, 46, 573 is 1.

Therefore, GCD of numbers 945, 343, 46, 573 is 1

Given Input Data is 945, 343, 46, 573

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 46 is 2 x 23

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(945, 343) = 46305

GCD(945, 343) = ( 945 x 343 ) / 46305

GCD(945, 343) = 324135 / 46305

GCD(945, 343) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 46

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

LCM(7, 46) = 322

GCD(7, 46) = ( 7 x 46 ) / 322

GCD(7, 46) = 322 / 322

GCD(7, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 573

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

LCM(1, 573) = 573

GCD(1, 573) = ( 1 x 573 ) / 573

GCD(1, 573) = 573 / 573

GCD(1, 573) = 1

GCD of 945, 343, 46, 573 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 383, 29, 334
• GCD of 192, 268, 97, 854
• GCD of 482, 367, 94, 724
• GCD of 170, 214, 39, 465
• GCD of 576, 869, 15, 642

1. What is the GCD of 945, 343, 46, 573?

GCD of 945, 343, 46, 573 is 1

2. Where do I get the detailed procedure to find GCD of 945, 343, 46, 573?

You can find a detailed procedure to find GCD of 945, 343, 46, 573 on our page.

3. How to find GCD of 945, 343, 46, 573 on a calculator?

You can find the GCD of 945, 343, 46, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.