GCD of 217, 919, 637, 693 Calculator

Given Input numbers are 217, 919, 637, 693

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

Divisors of 217

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

1, 7, 31, 217

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 217, 919, 637, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 919, 637, 693 is 1.

Therefore, GCD of numbers 217, 919, 637, 693 is 1

Given Input Data is 217, 919, 637, 693

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 919 is 919

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(217, 919) = 199423

GCD(217, 919) = ( 217 x 919 ) / 199423

GCD(217, 919) = 199423 / 199423

GCD(217, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 637

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

LCM(1, 637) = 637

GCD(1, 637) = ( 1 x 637 ) / 637

GCD(1, 637) = 637 / 637

GCD(1, 637) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 217, 919, 637, 693 is 1

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1. What is the GCD of 217, 919, 637, 693?

GCD of 217, 919, 637, 693 is 1

2. Where do I get the detailed procedure to find GCD of 217, 919, 637, 693?

You can find a detailed procedure to find GCD of 217, 919, 637, 693 on our page.

3. How to find GCD of 217, 919, 637, 693 on a calculator?

You can find the GCD of 217, 919, 637, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.