GCD of 225, 550, 69, 640 Calculator

Given Input numbers are 225, 550, 69, 640

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

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 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Greatest Common Divisior

We found the divisors of 225, 550, 69, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 225, 550, 69, 640 is 1.

Therefore, GCD of numbers 225, 550, 69, 640 is 1

Given Input Data is 225, 550, 69, 640

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

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 69 is 3 x 23

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 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(225, 550) = 4950

GCD(225, 550) = ( 225 x 550 ) / 4950

GCD(225, 550) = 123750 / 4950

GCD(225, 550) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 69

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

LCM(25, 69) = 1725

GCD(25, 69) = ( 25 x 69 ) / 1725

GCD(25, 69) = 1725 / 1725

GCD(25, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

GCD of 225, 550, 69, 640 is 1

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• GCD of 208, 846, 62, 170
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1. What is the GCD of 225, 550, 69, 640?

GCD of 225, 550, 69, 640 is 1

2. Where do I get the detailed procedure to find GCD of 225, 550, 69, 640?

You can find a detailed procedure to find GCD of 225, 550, 69, 640 on our page.

3. How to find GCD of 225, 550, 69, 640 on a calculator?

You can find the GCD of 225, 550, 69, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.