GCD of 361, 545, 218, 946 Calculator

Given Input numbers are 361, 545, 218, 946

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 946

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

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

Greatest Common Divisior

We found the divisors of 361, 545, 218, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 545, 218, 946 is 1.

Therefore, GCD of numbers 361, 545, 218, 946 is 1

Given Input Data is 361, 545, 218, 946

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 545 is 5 x 109

Prime Factorization of 218 is 2 x 109

Prime Factorization of 946 is 2 x 11 x 43

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(361, 545) = 196745

GCD(361, 545) = ( 361 x 545 ) / 196745

GCD(361, 545) = 196745 / 196745

GCD(361, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 361, 545, 218, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 274, 779, 733, 318
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• GCD of 117, 793, 301, 737
• GCD of 911, 572, 758, 716

1. What is the GCD of 361, 545, 218, 946?

GCD of 361, 545, 218, 946 is 1

2. Where do I get the detailed procedure to find GCD of 361, 545, 218, 946?

You can find a detailed procedure to find GCD of 361, 545, 218, 946 on our page.

3. How to find GCD of 361, 545, 218, 946 on a calculator?

You can find the GCD of 361, 545, 218, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.