GCD of 365, 414, 940, 558 Calculator

Given Input numbers are 365, 414, 940, 558

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

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 365, 414, 940, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 414, 940, 558 is 1.

Therefore, GCD of numbers 365, 414, 940, 558 is 1

Given Input Data is 365, 414, 940, 558

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

Prime Factorization of 365 is 5 x 73

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(365, 414) = 151110

GCD(365, 414) = ( 365 x 414 ) / 151110

GCD(365, 414) = 151110 / 151110

GCD(365, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 365, 414, 940, 558 is 1

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• GCD of 798, 369, 110, 914

1. What is the GCD of 365, 414, 940, 558?

GCD of 365, 414, 940, 558 is 1

2. Where do I get the detailed procedure to find GCD of 365, 414, 940, 558?

You can find a detailed procedure to find GCD of 365, 414, 940, 558 on our page.

3. How to find GCD of 365, 414, 940, 558 on a calculator?

You can find the GCD of 365, 414, 940, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.