GCD of 525, 160, 230 Calculator

Given Input numbers are 525, 160, 230

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Greatest Common Divisior

We found the divisors of 525, 160, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 160, 230 is 5.

Therefore, GCD of numbers 525, 160, 230 is 5

Given Input Data is 525, 160, 230

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 230 is 2 x 5 x 23

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(525, 160) = 16800

GCD(525, 160) = ( 525 x 160 ) / 16800

GCD(525, 160) = 84000 / 16800

GCD(525, 160) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 230

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

LCM(5, 230) = 230

GCD(5, 230) = ( 5 x 230 ) / 230

GCD(5, 230) = 1150 / 230

GCD(5, 230) = 5

GCD of 525, 160, 230 is 5

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• GCD of 559, 502, 965
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1. What is the GCD of 525, 160, 230?

GCD of 525, 160, 230 is 5

2. Where do I get the detailed procedure to find GCD of 525, 160, 230?

You can find a detailed procedure to find GCD of 525, 160, 230 on our page.

3. How to find GCD of 525, 160, 230 on a calculator?

You can find the GCD of 525, 160, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.