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, 753, 914, 788 i.e. 1 largest integer that divides all the numbers equally.
GCD of 224, 753, 914, 788 is 1
GCD(224, 753, 914, 788) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 753, 914, 788 is 1
GCD(224, 753, 914, 788) = 1
Given Input numbers are 224, 753, 914, 788
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 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Greatest Common Divisior
We found the divisors of 224, 753, 914, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 753, 914, 788 is 1.
Therefore, GCD of numbers 224, 753, 914, 788 is 1
Given Input Data is 224, 753, 914, 788
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 753 is 3 x 251
Prime Factorization of 914 is 2 x 457
Prime Factorization of 788 is 2 x 2 x 197
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, 753) = 168672
GCD(224, 753) = ( 224 x 753 ) / 168672
GCD(224, 753) = 168672 / 168672
GCD(224, 753) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 914
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
GCD(1, 914) = 914 / 914
GCD(1, 914) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 788
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 788) = 788
GCD(1, 788) = ( 1 x 788 ) / 788
GCD(1, 788) = 788 / 788
GCD(1, 788) = 1
GCD of 224, 753, 914, 788 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 224, 753, 914, 788?
GCD of 224, 753, 914, 788 is 1
2. Where do I get the detailed procedure to find GCD of 224, 753, 914, 788?
You can find a detailed procedure to find GCD of 224, 753, 914, 788 on our page.
3. How to find GCD of 224, 753, 914, 788 on a calculator?
You can find the GCD of 224, 753, 914, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.