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 276, 224, 237, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 276, 224, 237, 223 is 1
GCD(276, 224, 237, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 276, 224, 237, 223 is 1
GCD(276, 224, 237, 223) = 1
Given Input numbers are 276, 224, 237, 223
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
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 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 276, 224, 237, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 224, 237, 223 is 1.
Therefore, GCD of numbers 276, 224, 237, 223 is 1
Given Input Data is 276, 224, 237, 223
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 237 is 3 x 79
Prime Factorization of 223 is 223
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(276, 224) = 15456
GCD(276, 224) = ( 276 x 224 ) / 15456
GCD(276, 224) = 61824 / 15456
GCD(276, 224) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 237) = 948
GCD(4, 237) = ( 4 x 237 ) / 948
GCD(4, 237) = 948 / 948
GCD(4, 237) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 223) = 223
GCD(1, 223) = ( 1 x 223 ) / 223
GCD(1, 223) = 223 / 223
GCD(1, 223) = 1
GCD of 276, 224, 237, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 276, 224, 237, 223?
GCD of 276, 224, 237, 223 is 1
2. Where do I get the detailed procedure to find GCD of 276, 224, 237, 223?
You can find a detailed procedure to find GCD of 276, 224, 237, 223 on our page.
3. How to find GCD of 276, 224, 237, 223 on a calculator?
You can find the GCD of 276, 224, 237, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.