GCD of 734, 858, 693, 694 Calculator

Given Input numbers are 734, 858, 693, 694

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

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 734, 858, 693, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 858, 693, 694 is 1.

Therefore, GCD of numbers 734, 858, 693, 694 is 1

Given Input Data is 734, 858, 693, 694

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

Prime Factorization of 734 is 2 x 367

Prime Factorization of 858 is 2 x 3 x 11 x 13

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

Prime Factorization of 694 is 2 x 347

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(734, 858) = 314886

GCD(734, 858) = ( 734 x 858 ) / 314886

GCD(734, 858) = 629772 / 314886

GCD(734, 858) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 734, 858, 693, 694 is 1

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1. What is the GCD of 734, 858, 693, 694?

GCD of 734, 858, 693, 694 is 1

2. Where do I get the detailed procedure to find GCD of 734, 858, 693, 694?

You can find a detailed procedure to find GCD of 734, 858, 693, 694 on our page.

3. How to find GCD of 734, 858, 693, 694 on a calculator?

You can find the GCD of 734, 858, 693, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.