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 706, 800, 88, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 706, 800, 88, 747 is 1
GCD(706, 800, 88, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 706, 800, 88, 747 is 1
GCD(706, 800, 88, 747) = 1
Given Input numbers are 706, 800, 88, 747
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 706, 800, 88, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 800, 88, 747 is 1.
Therefore, GCD of numbers 706, 800, 88, 747 is 1
Given Input Data is 706, 800, 88, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 706 is 2 x 353
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 747 is 3 x 3 x 83
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(706, 800) = 282400
GCD(706, 800) = ( 706 x 800 ) / 282400
GCD(706, 800) = 564800 / 282400
GCD(706, 800) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 88) = 88
GCD(2, 88) = ( 2 x 88 ) / 88
GCD(2, 88) = 176 / 88
GCD(2, 88) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 747) = 1494
GCD(2, 747) = ( 2 x 747 ) / 1494
GCD(2, 747) = 1494 / 1494
GCD(2, 747) = 1
GCD of 706, 800, 88, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 706, 800, 88, 747?
GCD of 706, 800, 88, 747 is 1
2. Where do I get the detailed procedure to find GCD of 706, 800, 88, 747?
You can find a detailed procedure to find GCD of 706, 800, 88, 747 on our page.
3. How to find GCD of 706, 800, 88, 747 on a calculator?
You can find the GCD of 706, 800, 88, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.