GCD of 90, 565, 595, 105 Calculator

Given Input numbers are 90, 565, 595, 105

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 565

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

1, 5, 113, 565

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 90, 565, 595, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 565, 595, 105 is 5.

Therefore, GCD of numbers 90, 565, 595, 105 is 5

Given Input Data is 90, 565, 595, 105

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

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 565 is 5 x 113

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 105 is 3 x 5 x 7

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(90, 565) = 10170

GCD(90, 565) = ( 90 x 565 ) / 10170

GCD(90, 565) = 50850 / 10170

GCD(90, 565) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 595

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

LCM(5, 595) = 595

GCD(5, 595) = ( 5 x 595 ) / 595

GCD(5, 595) = 2975 / 595

GCD(5, 595) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 105

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

LCM(5, 105) = 105

GCD(5, 105) = ( 5 x 105 ) / 105

GCD(5, 105) = 525 / 105

GCD(5, 105) = 5

GCD of 90, 565, 595, 105 is 5

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1. What is the GCD of 90, 565, 595, 105?

GCD of 90, 565, 595, 105 is 5

2. Where do I get the detailed procedure to find GCD of 90, 565, 595, 105?

You can find a detailed procedure to find GCD of 90, 565, 595, 105 on our page.

3. How to find GCD of 90, 565, 595, 105 on a calculator?

You can find the GCD of 90, 565, 595, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.