GCD of 697, 713, 65, 100 Calculator

Given Input numbers are 697, 713, 65, 100

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Greatest Common Divisior

We found the divisors of 697, 713, 65, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 713, 65, 100 is 1.

Therefore, GCD of numbers 697, 713, 65, 100 is 1

Given Input Data is 697, 713, 65, 100

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 713 is 23 x 31

Prime Factorization of 65 is 5 x 13

Prime Factorization of 100 is 2 x 2 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(697, 713) = 496961

GCD(697, 713) = ( 697 x 713 ) / 496961

GCD(697, 713) = 496961 / 496961

GCD(697, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 100

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

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

GCD(1, 100) = 100 / 100

GCD(1, 100) = 1

GCD of 697, 713, 65, 100 is 1

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1. What is the GCD of 697, 713, 65, 100?

GCD of 697, 713, 65, 100 is 1

2. Where do I get the detailed procedure to find GCD of 697, 713, 65, 100?

You can find a detailed procedure to find GCD of 697, 713, 65, 100 on our page.

3. How to find GCD of 697, 713, 65, 100 on a calculator?

You can find the GCD of 697, 713, 65, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.