GCD of 895, 655, 625, 689 Calculator

Given Input numbers are 895, 655, 625, 689

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

Divisors of 895

List of positive integer divisors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 895, 655, 625, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 895, 655, 625, 689 is 1.

Therefore, GCD of numbers 895, 655, 625, 689 is 1

Given Input Data is 895, 655, 625, 689

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

Prime Factorization of 895 is 5 x 179

Prime Factorization of 655 is 5 x 131

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 689 is 13 x 53

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(895, 655) = 117245

GCD(895, 655) = ( 895 x 655 ) / 117245

GCD(895, 655) = 586225 / 117245

GCD(895, 655) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 625

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

LCM(5, 625) = 625

GCD(5, 625) = ( 5 x 625 ) / 625

GCD(5, 625) = 3125 / 625

GCD(5, 625) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 689

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

LCM(5, 689) = 3445

GCD(5, 689) = ( 5 x 689 ) / 3445

GCD(5, 689) = 3445 / 3445

GCD(5, 689) = 1

GCD of 895, 655, 625, 689 is 1

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1. What is the GCD of 895, 655, 625, 689?

GCD of 895, 655, 625, 689 is 1

2. Where do I get the detailed procedure to find GCD of 895, 655, 625, 689?

You can find a detailed procedure to find GCD of 895, 655, 625, 689 on our page.

3. How to find GCD of 895, 655, 625, 689 on a calculator?

You can find the GCD of 895, 655, 625, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.