GCD of 101, 625, 706, 845 Calculator

Given Input numbers are 101, 625, 706, 845

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Greatest Common Divisior

We found the divisors of 101, 625, 706, 845 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 625, 706, 845 is 1.

Therefore, GCD of numbers 101, 625, 706, 845 is 1

Given Input Data is 101, 625, 706, 845

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

Prime Factorization of 101 is 101

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 845 is 5 x 13 x 13

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(101, 625) = 63125

GCD(101, 625) = ( 101 x 625 ) / 63125

GCD(101, 625) = 63125 / 63125

GCD(101, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 845

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

LCM(1, 845) = 845

GCD(1, 845) = ( 1 x 845 ) / 845

GCD(1, 845) = 845 / 845

GCD(1, 845) = 1

GCD of 101, 625, 706, 845 is 1

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1. What is the GCD of 101, 625, 706, 845?

GCD of 101, 625, 706, 845 is 1

2. Where do I get the detailed procedure to find GCD of 101, 625, 706, 845?

You can find a detailed procedure to find GCD of 101, 625, 706, 845 on our page.

3. How to find GCD of 101, 625, 706, 845 on a calculator?

You can find the GCD of 101, 625, 706, 845 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.