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 100, 241, 837, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 100, 241, 837, 349 is 1
GCD(100, 241, 837, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 100, 241, 837, 349 is 1
GCD(100, 241, 837, 349) = 1
Given Input numbers are 100, 241, 837, 349
To find the GCD of numbers using factoring list out all the divisors of each number
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 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 100, 241, 837, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 241, 837, 349 is 1.
Therefore, GCD of numbers 100, 241, 837, 349 is 1
Given Input Data is 100, 241, 837, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 241 is 241
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 349 is 349
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(100, 241) = 24100
GCD(100, 241) = ( 100 x 241 ) / 24100
GCD(100, 241) = 24100 / 24100
GCD(100, 241) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 100, 241, 837, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 100, 241, 837, 349?
GCD of 100, 241, 837, 349 is 1
2. Where do I get the detailed procedure to find GCD of 100, 241, 837, 349?
You can find a detailed procedure to find GCD of 100, 241, 837, 349 on our page.
3. How to find GCD of 100, 241, 837, 349 on a calculator?
You can find the GCD of 100, 241, 837, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.