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, 221, 972, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 224, 221, 972, 775 is 1
GCD(224, 221, 972, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 221, 972, 775 is 1
GCD(224, 221, 972, 775) = 1
Given Input numbers are 224, 221, 972, 775
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 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 224, 221, 972, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 221, 972, 775 is 1.
Therefore, GCD of numbers 224, 221, 972, 775 is 1
Given Input Data is 224, 221, 972, 775
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 221 is 13 x 17
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 775 is 5 x 5 x 31
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, 221) = 49504
GCD(224, 221) = ( 224 x 221 ) / 49504
GCD(224, 221) = 49504 / 49504
GCD(224, 221) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 224, 221, 972, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 224, 221, 972, 775?
GCD of 224, 221, 972, 775 is 1
2. Where do I get the detailed procedure to find GCD of 224, 221, 972, 775?
You can find a detailed procedure to find GCD of 224, 221, 972, 775 on our page.
3. How to find GCD of 224, 221, 972, 775 on a calculator?
You can find the GCD of 224, 221, 972, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.