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 700, 683, 828, 444 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 683, 828, 444 is 1
GCD(700, 683, 828, 444) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 683, 828, 444 is 1
GCD(700, 683, 828, 444) = 1
Given Input numbers are 700, 683, 828, 444
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Greatest Common Divisior
We found the divisors of 700, 683, 828, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 683, 828, 444 is 1.
Therefore, GCD of numbers 700, 683, 828, 444 is 1
Given Input Data is 700, 683, 828, 444
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 683 is 683
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 444 is 2 x 2 x 3 x 37
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(700, 683) = 478100
GCD(700, 683) = ( 700 x 683 ) / 478100
GCD(700, 683) = 478100 / 478100
GCD(700, 683) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
GCD(1, 828) = 828 / 828
GCD(1, 828) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 444
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 444) = 444
GCD(1, 444) = ( 1 x 444 ) / 444
GCD(1, 444) = 444 / 444
GCD(1, 444) = 1
GCD of 700, 683, 828, 444 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 683, 828, 444?
GCD of 700, 683, 828, 444 is 1
2. Where do I get the detailed procedure to find GCD of 700, 683, 828, 444?
You can find a detailed procedure to find GCD of 700, 683, 828, 444 on our page.
3. How to find GCD of 700, 683, 828, 444 on a calculator?
You can find the GCD of 700, 683, 828, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.