GCD of 660, 237, 555, 435 Calculator

Given Input numbers are 660, 237, 555, 435

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 555

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

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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Greatest Common Divisior

We found the divisors of 660, 237, 555, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 237, 555, 435 is 3.

Therefore, GCD of numbers 660, 237, 555, 435 is 3

Given Input Data is 660, 237, 555, 435

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 237 is 3 x 79

Prime Factorization of 555 is 3 x 5 x 37

Prime Factorization of 435 is 3 x 5 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(660, 237) = 52140

GCD(660, 237) = ( 660 x 237 ) / 52140

GCD(660, 237) = 156420 / 52140

GCD(660, 237) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 555

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

LCM(3, 555) = 555

GCD(3, 555) = ( 3 x 555 ) / 555

GCD(3, 555) = 1665 / 555

GCD(3, 555) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 435

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

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

GCD(3, 435) = 1305 / 435

GCD(3, 435) = 3

GCD of 660, 237, 555, 435 is 3

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1. What is the GCD of 660, 237, 555, 435?

GCD of 660, 237, 555, 435 is 3

2. Where do I get the detailed procedure to find GCD of 660, 237, 555, 435?

You can find a detailed procedure to find GCD of 660, 237, 555, 435 on our page.

3. How to find GCD of 660, 237, 555, 435 on a calculator?

You can find the GCD of 660, 237, 555, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.