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 897, 924, 75, 941 i.e. 1 largest integer that divides all the numbers equally.
GCD of 897, 924, 75, 941 is 1
GCD(897, 924, 75, 941) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 897, 924, 75, 941 is 1
GCD(897, 924, 75, 941) = 1
Given Input numbers are 897, 924, 75, 941
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
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 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Greatest Common Divisior
We found the divisors of 897, 924, 75, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 897, 924, 75, 941 is 1.
Therefore, GCD of numbers 897, 924, 75, 941 is 1
Given Input Data is 897, 924, 75, 941
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 941 is 941
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(897, 924) = 276276
GCD(897, 924) = ( 897 x 924 ) / 276276
GCD(897, 924) = 828828 / 276276
GCD(897, 924) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 75) = 75
GCD(3, 75) = ( 3 x 75 ) / 75
GCD(3, 75) = 225 / 75
GCD(3, 75) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 941
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 941) = 2823
GCD(3, 941) = ( 3 x 941 ) / 2823
GCD(3, 941) = 2823 / 2823
GCD(3, 941) = 1
GCD of 897, 924, 75, 941 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 897, 924, 75, 941?
GCD of 897, 924, 75, 941 is 1
2. Where do I get the detailed procedure to find GCD of 897, 924, 75, 941?
You can find a detailed procedure to find GCD of 897, 924, 75, 941 on our page.
3. How to find GCD of 897, 924, 75, 941 on a calculator?
You can find the GCD of 897, 924, 75, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.