GCD of 565, 918, 89, 144 Calculator

Given Input numbers are 565, 918, 89, 144

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

Divisors of 565

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

1, 5, 113, 565

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 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 565, 918, 89, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 918, 89, 144 is 1.

Therefore, GCD of numbers 565, 918, 89, 144 is 1

Given Input Data is 565, 918, 89, 144

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

Prime Factorization of 565 is 5 x 113

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

Prime Factorization of 89 is 89

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(565, 918) = 518670

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

GCD(565, 918) = 518670 / 518670

GCD(565, 918) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 565, 918, 89, 144 is 1

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• GCD of 965, 314, 32, 350
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1. What is the GCD of 565, 918, 89, 144?

GCD of 565, 918, 89, 144 is 1

2. Where do I get the detailed procedure to find GCD of 565, 918, 89, 144?

You can find a detailed procedure to find GCD of 565, 918, 89, 144 on our page.

3. How to find GCD of 565, 918, 89, 144 on a calculator?

You can find the GCD of 565, 918, 89, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.