GCD of 890, 590, 34, 693 Calculator

Given Input numbers are 890, 590, 34, 693

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

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

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 890, 590, 34, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 590, 34, 693 is 1.

Therefore, GCD of numbers 890, 590, 34, 693 is 1

Given Input Data is 890, 590, 34, 693

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

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 34 is 2 x 17

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(890, 590) = 52510

GCD(890, 590) = ( 890 x 590 ) / 52510

GCD(890, 590) = 525100 / 52510

GCD(890, 590) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 34

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

LCM(10, 34) = 170

GCD(10, 34) = ( 10 x 34 ) / 170

GCD(10, 34) = 340 / 170

GCD(10, 34) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 890, 590, 34, 693 is 1

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1. What is the GCD of 890, 590, 34, 693?

GCD of 890, 590, 34, 693 is 1

2. Where do I get the detailed procedure to find GCD of 890, 590, 34, 693?

You can find a detailed procedure to find GCD of 890, 590, 34, 693 on our page.

3. How to find GCD of 890, 590, 34, 693 on a calculator?

You can find the GCD of 890, 590, 34, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.