GCD of 43, 410, 225, 169 Calculator

Given Input numbers are 43, 410, 225, 169

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 43, 410, 225, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 410, 225, 169 is 1.

Therefore, GCD of numbers 43, 410, 225, 169 is 1

Given Input Data is 43, 410, 225, 169

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

Prime Factorization of 43 is 43

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 169 is 13 x 13

The above numbers do not have any common prime factor. So GCD is 1

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(43, 410) = 17630

GCD(43, 410) = ( 43 x 410 ) / 17630

GCD(43, 410) = 17630 / 17630

GCD(43, 410) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 43, 410, 225, 169 is 1

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• GCD of 32, 929, 257, 752
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• GCD of 59, 518, 137, 790

1. What is the GCD of 43, 410, 225, 169?

GCD of 43, 410, 225, 169 is 1

2. Where do I get the detailed procedure to find GCD of 43, 410, 225, 169?

You can find a detailed procedure to find GCD of 43, 410, 225, 169 on our page.

3. How to find GCD of 43, 410, 225, 169 on a calculator?

You can find the GCD of 43, 410, 225, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.