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 861, 833, 100, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 861, 833, 100, 931 is 1
GCD(861, 833, 100, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 861, 833, 100, 931 is 1
GCD(861, 833, 100, 931) = 1
Given Input numbers are 861, 833, 100, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 833
List of positive integer divisors of 833 that divides 833 without a remainder.
1, 7, 17, 49, 119, 833
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 861, 833, 100, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 833, 100, 931 is 1.
Therefore, GCD of numbers 861, 833, 100, 931 is 1
Given Input Data is 861, 833, 100, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 833 is 7 x 7 x 17
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 931 is 7 x 7 x 19
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(861, 833) = 102459
GCD(861, 833) = ( 861 x 833 ) / 102459
GCD(861, 833) = 717213 / 102459
GCD(861, 833) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 100) = 700
GCD(7, 100) = ( 7 x 100 ) / 700
GCD(7, 100) = 700 / 700
GCD(7, 100) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 861, 833, 100, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 861, 833, 100, 931?
GCD of 861, 833, 100, 931 is 1
2. Where do I get the detailed procedure to find GCD of 861, 833, 100, 931?
You can find a detailed procedure to find GCD of 861, 833, 100, 931 on our page.
3. How to find GCD of 861, 833, 100, 931 on a calculator?
You can find the GCD of 861, 833, 100, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.