GCD of 946, 416, 575, 538 Calculator

Given Input numbers are 946, 416, 575, 538

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 946, 416, 575, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 416, 575, 538 is 1.

Therefore, GCD of numbers 946, 416, 575, 538 is 1

Given Input Data is 946, 416, 575, 538

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 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 538 is 2 x 269

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, 416) = 196768

GCD(946, 416) = ( 946 x 416 ) / 196768

GCD(946, 416) = 393536 / 196768

GCD(946, 416) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 575

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

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

GCD(2, 575) = 1150 / 1150

GCD(2, 575) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 946, 416, 575, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 602, 928, 560, 825
• GCD of 381, 558, 517, 379
• GCD of 647, 720, 275, 121
• GCD of 784, 628, 229, 866
• GCD of 246, 501, 539, 280

1. What is the GCD of 946, 416, 575, 538?

GCD of 946, 416, 575, 538 is 1

2. Where do I get the detailed procedure to find GCD of 946, 416, 575, 538?

You can find a detailed procedure to find GCD of 946, 416, 575, 538 on our page.

3. How to find GCD of 946, 416, 575, 538 on a calculator?

You can find the GCD of 946, 416, 575, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.