GCD of 415, 350, 308, 225 Calculator

Given Input numbers are 415, 350, 308, 225

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

Greatest Common Divisior

We found the divisors of 415, 350, 308, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 350, 308, 225 is 1.

Therefore, GCD of numbers 415, 350, 308, 225 is 1

Given Input Data is 415, 350, 308, 225

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 308 is 2 x 2 x 7 x 11

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

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(415, 350) = 29050

GCD(415, 350) = ( 415 x 350 ) / 29050

GCD(415, 350) = 145250 / 29050

GCD(415, 350) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 308

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

LCM(5, 308) = 1540

GCD(5, 308) = ( 5 x 308 ) / 1540

GCD(5, 308) = 1540 / 1540

GCD(5, 308) = 1

Step3:

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

GCD of 415, 350, 308, 225 is 1

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• GCD of 816, 928, 468, 815
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1. What is the GCD of 415, 350, 308, 225?

GCD of 415, 350, 308, 225 is 1

2. Where do I get the detailed procedure to find GCD of 415, 350, 308, 225?

You can find a detailed procedure to find GCD of 415, 350, 308, 225 on our page.

3. How to find GCD of 415, 350, 308, 225 on a calculator?

You can find the GCD of 415, 350, 308, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.