GCD of 600, 435, 135, 220 Calculator

Given Input numbers are 600, 435, 135, 220

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

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 435

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

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

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 600, 435, 135, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 435, 135, 220 is 5.

Therefore, GCD of numbers 600, 435, 135, 220 is 5

Given Input Data is 600, 435, 135, 220

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

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(600, 435) = 17400

GCD(600, 435) = ( 600 x 435 ) / 17400

GCD(600, 435) = 261000 / 17400

GCD(600, 435) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 135

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

LCM(15, 135) = 135

GCD(15, 135) = ( 15 x 135 ) / 135

GCD(15, 135) = 2025 / 135

GCD(15, 135) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 220

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

LCM(15, 220) = 660

GCD(15, 220) = ( 15 x 220 ) / 660

GCD(15, 220) = 3300 / 660

GCD(15, 220) = 5

GCD of 600, 435, 135, 220 is 5

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1. What is the GCD of 600, 435, 135, 220?

GCD of 600, 435, 135, 220 is 5

2. Where do I get the detailed procedure to find GCD of 600, 435, 135, 220?

You can find a detailed procedure to find GCD of 600, 435, 135, 220 on our page.

3. How to find GCD of 600, 435, 135, 220 on a calculator?

You can find the GCD of 600, 435, 135, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.