GCD of 635, 410, 653, 675 Calculator

Given Input numbers are 635, 410, 653, 675

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

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 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 635, 410, 653, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 410, 653, 675 is 1.

Therefore, GCD of numbers 635, 410, 653, 675 is 1

Given Input Data is 635, 410, 653, 675

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 653 is 653

Prime Factorization of 675 is 3 x 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(635, 410) = 52070

GCD(635, 410) = ( 635 x 410 ) / 52070

GCD(635, 410) = 260350 / 52070

GCD(635, 410) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 653

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

LCM(5, 653) = 3265

GCD(5, 653) = ( 5 x 653 ) / 3265

GCD(5, 653) = 3265 / 3265

GCD(5, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 675

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

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

GCD(1, 675) = 675 / 675

GCD(1, 675) = 1

GCD of 635, 410, 653, 675 is 1

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1. What is the GCD of 635, 410, 653, 675?

GCD of 635, 410, 653, 675 is 1

2. Where do I get the detailed procedure to find GCD of 635, 410, 653, 675?

You can find a detailed procedure to find GCD of 635, 410, 653, 675 on our page.

3. How to find GCD of 635, 410, 653, 675 on a calculator?

You can find the GCD of 635, 410, 653, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.