GCD of 68, 704, 743, 626 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 68, 704, 743, 626 i.e. 1 largest integer that divides all the numbers equally.

GCD of 68, 704, 743, 626 is 1

GCD(68, 704, 743, 626) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 68, 704, 743, 626 is 1

GCD(68, 704, 743, 626) = 1

GCD of 68,704,743,626 Calculator

GCDof 68,704,743,626 is 1

Given Input numbers are 68, 704, 743, 626

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Greatest Common Divisior

We found the divisors of 68, 704, 743, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 704, 743, 626 is 1.

Therefore, GCD of numbers 68, 704, 743, 626 is 1

Finding GCD of 68, 704, 743, 626 using Prime Factorization

Given Input Data is 68, 704, 743, 626

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 743 is 743

Prime Factorization of 626 is 2 x 313

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 68, 704, 743, 626 using LCM Formula

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(68, 704) = 11968

GCD(68, 704) = ( 68 x 704 ) / 11968

GCD(68, 704) = 47872 / 11968

GCD(68, 704) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 743

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

LCM(4, 743) = 2972

GCD(4, 743) = ( 4 x 743 ) / 2972

GCD(4, 743) = 2972 / 2972

GCD(4, 743) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 626

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

LCM(1, 626) = 626

GCD(1, 626) = ( 1 x 626 ) / 626

GCD(1, 626) = 626 / 626

GCD(1, 626) = 1

GCD of 68, 704, 743, 626 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 68, 704, 743, 626

1. What is the GCD of 68, 704, 743, 626?

GCD of 68, 704, 743, 626 is 1


2. Where do I get the detailed procedure to find GCD of 68, 704, 743, 626?

You can find a detailed procedure to find GCD of 68, 704, 743, 626 on our page.


3. How to find GCD of 68, 704, 743, 626 on a calculator?

You can find the GCD of 68, 704, 743, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.