GCD of 595, 435, 120 Calculator

Given Input numbers are 595, 435, 120

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

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 435

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

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 595, 435, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 435, 120 is 5.

Therefore, GCD of numbers 595, 435, 120 is 5

Given Input Data is 595, 435, 120

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(595, 435) = 51765

GCD(595, 435) = ( 595 x 435 ) / 51765

GCD(595, 435) = 258825 / 51765

GCD(595, 435) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 120

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

LCM(5, 120) = 120

GCD(5, 120) = ( 5 x 120 ) / 120

GCD(5, 120) = 600 / 120

GCD(5, 120) = 5

GCD of 595, 435, 120 is 5

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• GCD of 849, 817, 816
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1. What is the GCD of 595, 435, 120?

GCD of 595, 435, 120 is 5

2. Where do I get the detailed procedure to find GCD of 595, 435, 120?

You can find a detailed procedure to find GCD of 595, 435, 120 on our page.

3. How to find GCD of 595, 435, 120 on a calculator?

You can find the GCD of 595, 435, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.