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 711, 933, 224, 112 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 933, 224, 112 is 1
GCD(711, 933, 224, 112) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 933, 224, 112 is 1
GCD(711, 933, 224, 112) = 1
Given Input numbers are 711, 933, 224, 112
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
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 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greatest Common Divisior
We found the divisors of 711, 933, 224, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 933, 224, 112 is 1.
Therefore, GCD of numbers 711, 933, 224, 112 is 1
Given Input Data is 711, 933, 224, 112
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 933 is 3 x 311
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 112 is 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(711, 933) = 221121
GCD(711, 933) = ( 711 x 933 ) / 221121
GCD(711, 933) = 663363 / 221121
GCD(711, 933) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 224) = 672
GCD(3, 224) = ( 3 x 224 ) / 672
GCD(3, 224) = 672 / 672
GCD(3, 224) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
GCD(1, 112) = 112 / 112
GCD(1, 112) = 1
GCD of 711, 933, 224, 112 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 933, 224, 112?
GCD of 711, 933, 224, 112 is 1
2. Where do I get the detailed procedure to find GCD of 711, 933, 224, 112?
You can find a detailed procedure to find GCD of 711, 933, 224, 112 on our page.
3. How to find GCD of 711, 933, 224, 112 on a calculator?
You can find the GCD of 711, 933, 224, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.