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 975, 932, 890, 895 i.e. 1 largest integer that divides all the numbers equally.
GCD of 975, 932, 890, 895 is 1
GCD(975, 932, 890, 895) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 975, 932, 890, 895 is 1
GCD(975, 932, 890, 895) = 1
Given Input numbers are 975, 932, 890, 895
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 895
List of positive integer divisors of 895 that divides 895 without a remainder.
1, 5, 179, 895
Greatest Common Divisior
We found the divisors of 975, 932, 890, 895 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 932, 890, 895 is 1.
Therefore, GCD of numbers 975, 932, 890, 895 is 1
Given Input Data is 975, 932, 890, 895
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 975 is 3 x 5 x 5 x 13
Prime Factorization of 932 is 2 x 2 x 233
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 895 is 5 x 179
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(975, 932) = 908700
GCD(975, 932) = ( 975 x 932 ) / 908700
GCD(975, 932) = 908700 / 908700
GCD(975, 932) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 890) = 890
GCD(1, 890) = ( 1 x 890 ) / 890
GCD(1, 890) = 890 / 890
GCD(1, 890) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 895
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 895) = 895
GCD(1, 895) = ( 1 x 895 ) / 895
GCD(1, 895) = 895 / 895
GCD(1, 895) = 1
GCD of 975, 932, 890, 895 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 975, 932, 890, 895?
GCD of 975, 932, 890, 895 is 1
2. Where do I get the detailed procedure to find GCD of 975, 932, 890, 895?
You can find a detailed procedure to find GCD of 975, 932, 890, 895 on our page.
3. How to find GCD of 975, 932, 890, 895 on a calculator?
You can find the GCD of 975, 932, 890, 895 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.