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 101, 229, 834, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 229, 834, 224 is 1
GCD(101, 229, 834, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 229, 834, 224 is 1
GCD(101, 229, 834, 224) = 1
Given Input numbers are 101, 229, 834, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 229
List of positive integer divisors of 229 that divides 229 without a remainder.
1, 229
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 101, 229, 834, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 229, 834, 224 is 1.
Therefore, GCD of numbers 101, 229, 834, 224 is 1
Given Input Data is 101, 229, 834, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 229 is 229
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
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(101, 229) = 23129
GCD(101, 229) = ( 101 x 229 ) / 23129
GCD(101, 229) = 23129 / 23129
GCD(101, 229) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
GCD(1, 834) = 834 / 834
GCD(1, 834) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
GCD(1, 224) = 224 / 224
GCD(1, 224) = 1
GCD of 101, 229, 834, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 229, 834, 224?
GCD of 101, 229, 834, 224 is 1
2. Where do I get the detailed procedure to find GCD of 101, 229, 834, 224?
You can find a detailed procedure to find GCD of 101, 229, 834, 224 on our page.
3. How to find GCD of 101, 229, 834, 224 on a calculator?
You can find the GCD of 101, 229, 834, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.