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 889, 364, 427, 924 i.e. 7 largest integer that divides all the numbers equally.
GCD of 889, 364, 427, 924 is 7
GCD(889, 364, 427, 924) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 889, 364, 427, 924 is 7
GCD(889, 364, 427, 924) = 7
Given Input numbers are 889, 364, 427, 924
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
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
Greatest Common Divisior
We found the divisors of 889, 364, 427, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 364, 427, 924 is 7.
Therefore, GCD of numbers 889, 364, 427, 924 is 7
Given Input Data is 889, 364, 427, 924
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 889 is 7 x 127
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 427 is 7 x 61
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
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(889, 364) = 46228
GCD(889, 364) = ( 889 x 364 ) / 46228
GCD(889, 364) = 323596 / 46228
GCD(889, 364) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 427
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 427) = 427
GCD(7, 427) = ( 7 x 427 ) / 427
GCD(7, 427) = 2989 / 427
GCD(7, 427) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 924) = 924
GCD(7, 924) = ( 7 x 924 ) / 924
GCD(7, 924) = 6468 / 924
GCD(7, 924) = 7
GCD of 889, 364, 427, 924 is 7
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 889, 364, 427, 924?
GCD of 889, 364, 427, 924 is 7
2. Where do I get the detailed procedure to find GCD of 889, 364, 427, 924?
You can find a detailed procedure to find GCD of 889, 364, 427, 924 on our page.
3. How to find GCD of 889, 364, 427, 924 on a calculator?
You can find the GCD of 889, 364, 427, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.