GCD of 265, 690, 75, 555 Calculator

Given Input numbers are 265, 690, 75, 555

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 265, 690, 75, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 690, 75, 555 is 5.

Therefore, GCD of numbers 265, 690, 75, 555 is 5

Given Input Data is 265, 690, 75, 555

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 555 is 3 x 5 x 37

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(265, 690) = 36570

GCD(265, 690) = ( 265 x 690 ) / 36570

GCD(265, 690) = 182850 / 36570

GCD(265, 690) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 75

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

LCM(5, 75) = 75

GCD(5, 75) = ( 5 x 75 ) / 75

GCD(5, 75) = 375 / 75

GCD(5, 75) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 555

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

LCM(5, 555) = 555

GCD(5, 555) = ( 5 x 555 ) / 555

GCD(5, 555) = 2775 / 555

GCD(5, 555) = 5

GCD of 265, 690, 75, 555 is 5

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1. What is the GCD of 265, 690, 75, 555?

GCD of 265, 690, 75, 555 is 5

2. Where do I get the detailed procedure to find GCD of 265, 690, 75, 555?

You can find a detailed procedure to find GCD of 265, 690, 75, 555 on our page.

3. How to find GCD of 265, 690, 75, 555 on a calculator?

You can find the GCD of 265, 690, 75, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.