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 98, 642, 789, 633 i.e. 1 largest integer that divides all the numbers equally.
GCD of 98, 642, 789, 633 is 1
GCD(98, 642, 789, 633) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 98, 642, 789, 633 is 1
GCD(98, 642, 789, 633) = 1
Given Input numbers are 98, 642, 789, 633
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 98, 642, 789, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 642, 789, 633 is 1.
Therefore, GCD of numbers 98, 642, 789, 633 is 1
Given Input Data is 98, 642, 789, 633
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 789 is 3 x 263
Prime Factorization of 633 is 3 x 211
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(98, 642) = 31458
GCD(98, 642) = ( 98 x 642 ) / 31458
GCD(98, 642) = 62916 / 31458
GCD(98, 642) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 789) = 1578
GCD(2, 789) = ( 2 x 789 ) / 1578
GCD(2, 789) = 1578 / 1578
GCD(2, 789) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 633) = 633
GCD(1, 633) = ( 1 x 633 ) / 633
GCD(1, 633) = 633 / 633
GCD(1, 633) = 1
GCD of 98, 642, 789, 633 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 98, 642, 789, 633?
GCD of 98, 642, 789, 633 is 1
2. Where do I get the detailed procedure to find GCD of 98, 642, 789, 633?
You can find a detailed procedure to find GCD of 98, 642, 789, 633 on our page.
3. How to find GCD of 98, 642, 789, 633 on a calculator?
You can find the GCD of 98, 642, 789, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.