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 103, 131, 358, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 131, 358, 224 is 1
GCD(103, 131, 358, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 131, 358, 224 is 1
GCD(103, 131, 358, 224) = 1
Given Input numbers are 103, 131, 358, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
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 103, 131, 358, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 131, 358, 224 is 1.
Therefore, GCD of numbers 103, 131, 358, 224 is 1
Given Input Data is 103, 131, 358, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 131 is 131
Prime Factorization of 358 is 2 x 179
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(103, 131) = 13493
GCD(103, 131) = ( 103 x 131 ) / 13493
GCD(103, 131) = 13493 / 13493
GCD(103, 131) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 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 103, 131, 358, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 131, 358, 224?
GCD of 103, 131, 358, 224 is 1
2. Where do I get the detailed procedure to find GCD of 103, 131, 358, 224?
You can find a detailed procedure to find GCD of 103, 131, 358, 224 on our page.
3. How to find GCD of 103, 131, 358, 224 on a calculator?
You can find the GCD of 103, 131, 358, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.