GCD of 914, 550, 81, 775 Calculator

Given Input numbers are 914, 550, 81, 775

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

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 914, 550, 81, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 550, 81, 775 is 1.

Therefore, GCD of numbers 914, 550, 81, 775 is 1

Given Input Data is 914, 550, 81, 775

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

Prime Factorization of 914 is 2 x 457

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 775 is 5 x 5 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(914, 550) = 251350

GCD(914, 550) = ( 914 x 550 ) / 251350

GCD(914, 550) = 502700 / 251350

GCD(914, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 81

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

LCM(2, 81) = 162

GCD(2, 81) = ( 2 x 81 ) / 162

GCD(2, 81) = 162 / 162

GCD(2, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 914, 550, 81, 775 is 1

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• GCD of 997, 525, 25, 890
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1. What is the GCD of 914, 550, 81, 775?

GCD of 914, 550, 81, 775 is 1

2. Where do I get the detailed procedure to find GCD of 914, 550, 81, 775?

You can find a detailed procedure to find GCD of 914, 550, 81, 775 on our page.

3. How to find GCD of 914, 550, 81, 775 on a calculator?

You can find the GCD of 914, 550, 81, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.