GCD of 490, 709, 69, 225 Calculator

Given Input numbers are 490, 709, 69, 225

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

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 69

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

1, 3, 23, 69

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 490, 709, 69, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 709, 69, 225 is 1.

Therefore, GCD of numbers 490, 709, 69, 225 is 1

Given Input Data is 490, 709, 69, 225

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 709 is 709

Prime Factorization of 69 is 3 x 23

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(490, 709) = 347410

GCD(490, 709) = ( 490 x 709 ) / 347410

GCD(490, 709) = 347410 / 347410

GCD(490, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 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 490, 709, 69, 225 is 1

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• GCD of 255, 384, 92, 642
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1. What is the GCD of 490, 709, 69, 225?

GCD of 490, 709, 69, 225 is 1

2. Where do I get the detailed procedure to find GCD of 490, 709, 69, 225?

You can find a detailed procedure to find GCD of 490, 709, 69, 225 on our page.

3. How to find GCD of 490, 709, 69, 225 on a calculator?

You can find the GCD of 490, 709, 69, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.