GCD of 946, 418, 893, 542 Calculator

Given Input numbers are 946, 418, 893, 542

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 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 946, 418, 893, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 418, 893, 542 is 1.

Therefore, GCD of numbers 946, 418, 893, 542 is 1

Given Input Data is 946, 418, 893, 542

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 418 is 2 x 11 x 19

Prime Factorization of 893 is 19 x 47

Prime Factorization of 542 is 2 x 271

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, 418) = 17974

GCD(946, 418) = ( 946 x 418 ) / 17974

GCD(946, 418) = 395428 / 17974

GCD(946, 418) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 893

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

LCM(22, 893) = 19646

GCD(22, 893) = ( 22 x 893 ) / 19646

GCD(22, 893) = 19646 / 19646

GCD(22, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 946, 418, 893, 542 is 1

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1. What is the GCD of 946, 418, 893, 542?

GCD of 946, 418, 893, 542 is 1

2. Where do I get the detailed procedure to find GCD of 946, 418, 893, 542?

You can find a detailed procedure to find GCD of 946, 418, 893, 542 on our page.

3. How to find GCD of 946, 418, 893, 542 on a calculator?

You can find the GCD of 946, 418, 893, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.