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 867, 924, 224, 167 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 924, 224, 167 is 1
GCD(867, 924, 224, 167) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 924, 224, 167 is 1
GCD(867, 924, 224, 167) = 1
Given Input numbers are 867, 924, 224, 167
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
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 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Greatest Common Divisior
We found the divisors of 867, 924, 224, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 924, 224, 167 is 1.
Therefore, GCD of numbers 867, 924, 224, 167 is 1
Given Input Data is 867, 924, 224, 167
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 167 is 167
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(867, 924) = 267036
GCD(867, 924) = ( 867 x 924 ) / 267036
GCD(867, 924) = 801108 / 267036
GCD(867, 924) = 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 167
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 167) = 167
GCD(1, 167) = ( 1 x 167 ) / 167
GCD(1, 167) = 167 / 167
GCD(1, 167) = 1
GCD of 867, 924, 224, 167 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 924, 224, 167?
GCD of 867, 924, 224, 167 is 1
2. Where do I get the detailed procedure to find GCD of 867, 924, 224, 167?
You can find a detailed procedure to find GCD of 867, 924, 224, 167 on our page.
3. How to find GCD of 867, 924, 224, 167 on a calculator?
You can find the GCD of 867, 924, 224, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.