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, 620, 242, 863 i.e. 1 largest integer that divides all the numbers equally.
GCD of 224, 620, 242, 863 is 1
GCD(224, 620, 242, 863) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 620, 242, 863 is 1
GCD(224, 620, 242, 863) = 1
Given Input numbers are 224, 620, 242, 863
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 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 863
List of positive integer divisors of 863 that divides 863 without a remainder.
1, 863
Greatest Common Divisior
We found the divisors of 224, 620, 242, 863 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 620, 242, 863 is 1.
Therefore, GCD of numbers 224, 620, 242, 863 is 1
Given Input Data is 224, 620, 242, 863
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 620 is 2 x 2 x 5 x 31
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 863 is 863
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, 620) = 34720
GCD(224, 620) = ( 224 x 620 ) / 34720
GCD(224, 620) = 138880 / 34720
GCD(224, 620) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 242
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 242) = 484
GCD(4, 242) = ( 4 x 242 ) / 484
GCD(4, 242) = 968 / 484
GCD(4, 242) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 863
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 863) = 1726
GCD(2, 863) = ( 2 x 863 ) / 1726
GCD(2, 863) = 1726 / 1726
GCD(2, 863) = 1
GCD of 224, 620, 242, 863 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 224, 620, 242, 863?
GCD of 224, 620, 242, 863 is 1
2. Where do I get the detailed procedure to find GCD of 224, 620, 242, 863?
You can find a detailed procedure to find GCD of 224, 620, 242, 863 on our page.
3. How to find GCD of 224, 620, 242, 863 on a calculator?
You can find the GCD of 224, 620, 242, 863 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.