GCD of 918, 565, 49, 331 Calculator

Given Input numbers are 918, 565, 49, 331

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

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 918, 565, 49, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 918, 565, 49, 331 is 1.

Therefore, GCD of numbers 918, 565, 49, 331 is 1

Given Input Data is 918, 565, 49, 331

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

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 565 is 5 x 113

Prime Factorization of 49 is 7 x 7

Prime Factorization of 331 is 331

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(918, 565) = 518670

GCD(918, 565) = ( 918 x 565 ) / 518670

GCD(918, 565) = 518670 / 518670

GCD(918, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 918, 565, 49, 331 is 1

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1. What is the GCD of 918, 565, 49, 331?

GCD of 918, 565, 49, 331 is 1

2. Where do I get the detailed procedure to find GCD of 918, 565, 49, 331?

You can find a detailed procedure to find GCD of 918, 565, 49, 331 on our page.

3. How to find GCD of 918, 565, 49, 331 on a calculator?

You can find the GCD of 918, 565, 49, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.