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 224, 129, 91, 650 i.e. 1 largest integer that divides all the numbers equally.
GCD of 224, 129, 91, 650 is 1
GCD(224, 129, 91, 650) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 129, 91, 650 is 1
GCD(224, 129, 91, 650) = 1
Given Input numbers are 224, 129, 91, 650
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 224, 129, 91, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 129, 91, 650 is 1.
Therefore, GCD of numbers 224, 129, 91, 650 is 1
Given Input Data is 224, 129, 91, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 129 is 3 x 43
Prime Factorization of 91 is 7 x 13
Prime Factorization of 650 is 2 x 5 x 5 x 13
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(224, 129) = 28896
GCD(224, 129) = ( 224 x 129 ) / 28896
GCD(224, 129) = 28896 / 28896
GCD(224, 129) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
GCD of 224, 129, 91, 650 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 224, 129, 91, 650?
GCD of 224, 129, 91, 650 is 1
2. Where do I get the detailed procedure to find GCD of 224, 129, 91, 650?
You can find a detailed procedure to find GCD of 224, 129, 91, 650 on our page.
3. How to find GCD of 224, 129, 91, 650 on a calculator?
You can find the GCD of 224, 129, 91, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.