GCD of 595, 217, 608, 700 Calculator

Given Input numbers are 595, 217, 608, 700

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 595, 217, 608, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 217, 608, 700 is 1.

Therefore, GCD of numbers 595, 217, 608, 700 is 1

Given Input Data is 595, 217, 608, 700

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 217 is 7 x 31

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(595, 217) = 18445

GCD(595, 217) = ( 595 x 217 ) / 18445

GCD(595, 217) = 129115 / 18445

GCD(595, 217) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 608

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

LCM(7, 608) = 4256

GCD(7, 608) = ( 7 x 608 ) / 4256

GCD(7, 608) = 4256 / 4256

GCD(7, 608) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 595, 217, 608, 700 is 1

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1. What is the GCD of 595, 217, 608, 700?

GCD of 595, 217, 608, 700 is 1

2. Where do I get the detailed procedure to find GCD of 595, 217, 608, 700?

You can find a detailed procedure to find GCD of 595, 217, 608, 700 on our page.

3. How to find GCD of 595, 217, 608, 700 on a calculator?

You can find the GCD of 595, 217, 608, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.