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 755, 224, 284, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 755, 224, 284, 696 is 1
GCD(755, 224, 284, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 755, 224, 284, 696 is 1
GCD(755, 224, 284, 696) = 1
Given Input numbers are 755, 224, 284, 696
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
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 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 755, 224, 284, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 224, 284, 696 is 1.
Therefore, GCD of numbers 755, 224, 284, 696 is 1
Given Input Data is 755, 224, 284, 696
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 755 is 5 x 151
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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(755, 224) = 169120
GCD(755, 224) = ( 755 x 224 ) / 169120
GCD(755, 224) = 169120 / 169120
GCD(755, 224) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 284) = 284
GCD(1, 284) = ( 1 x 284 ) / 284
GCD(1, 284) = 284 / 284
GCD(1, 284) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
GCD of 755, 224, 284, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 755, 224, 284, 696?
GCD of 755, 224, 284, 696 is 1
2. Where do I get the detailed procedure to find GCD of 755, 224, 284, 696?
You can find a detailed procedure to find GCD of 755, 224, 284, 696 on our page.
3. How to find GCD of 755, 224, 284, 696 on a calculator?
You can find the GCD of 755, 224, 284, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.