GCD of 940, 891, 29, 458 Calculator

Given Input numbers are 940, 891, 29, 458

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

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 940, 891, 29, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 891, 29, 458 is 1.

Therefore, GCD of numbers 940, 891, 29, 458 is 1

Given Input Data is 940, 891, 29, 458

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

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 29 is 29

Prime Factorization of 458 is 2 x 229

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(940, 891) = 837540

GCD(940, 891) = ( 940 x 891 ) / 837540

GCD(940, 891) = 837540 / 837540

GCD(940, 891) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

GCD of 940, 891, 29, 458 is 1

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1. What is the GCD of 940, 891, 29, 458?

GCD of 940, 891, 29, 458 is 1

2. Where do I get the detailed procedure to find GCD of 940, 891, 29, 458?

You can find a detailed procedure to find GCD of 940, 891, 29, 458 on our page.

3. How to find GCD of 940, 891, 29, 458 on a calculator?

You can find the GCD of 940, 891, 29, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.