GCD of 920, 535, 41, 774 Calculator

Given Input numbers are 920, 535, 41, 774

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 920, 535, 41, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 535, 41, 774 is 1.

Therefore, GCD of numbers 920, 535, 41, 774 is 1

Given Input Data is 920, 535, 41, 774

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 535 is 5 x 107

Prime Factorization of 41 is 41

Prime Factorization of 774 is 2 x 3 x 3 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(920, 535) = 98440

GCD(920, 535) = ( 920 x 535 ) / 98440

GCD(920, 535) = 492200 / 98440

GCD(920, 535) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 41

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

LCM(5, 41) = 205

GCD(5, 41) = ( 5 x 41 ) / 205

GCD(5, 41) = 205 / 205

GCD(5, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 920, 535, 41, 774 is 1

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• GCD of 629, 716, 89, 697
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1. What is the GCD of 920, 535, 41, 774?

GCD of 920, 535, 41, 774 is 1

2. Where do I get the detailed procedure to find GCD of 920, 535, 41, 774?

You can find a detailed procedure to find GCD of 920, 535, 41, 774 on our page.

3. How to find GCD of 920, 535, 41, 774 on a calculator?

You can find the GCD of 920, 535, 41, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.