GCD of 899, 775, 825 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 899, 775, 825 quickly. Get the easiest ways to solve the greatest common divisor of 899, 775, 825 i.e 1 in different methods as follows.
Given Input numbers are 899, 775, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 899 :
The positive integer divisors of 899 that completely divides 899 are.
1, 29, 31, 899
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (899, 775, 825) = 1.
Given numbers are 899, 775, 825
The list of prime factors of all numbers are
Prime factors of 899 are 29 x 31
Prime factors of 775 are 5 x 5 x 31
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 899, 775, 825 using LCM Formula
Given numbers are 899, 775, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(899, 775) = 22475
GCD(899, 775) = ( 899 x 775 ) / 22475
= 899 / 775
= 899
Step2:
LCM(31, 825) = 25575
GCD(31, 825) = ( 31 x 825 ) / 25575
= 31 / 825
= 31
So, Greatest Common Divisor of 899, 775, 825 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 899, 775, 825
Given numbers are 899, 775, 825
The greatest common divisor of numbers 899, 775, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 899, 775, 825 is 1.
FAQs on GCD of 899, 775, 825 Calculator
1. What is the GCD of 899, 775, 825?
GCD of given numbers 899, 775, 825 is 1
2. How to calculate the greatest common divisor of 899, 775, 825?
We can find the highest common divisor of 899, 775, 825 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 899, 775, 825 i.e 1.
3. How can I use the GCD of 899, 775, 825Calculator?
Out the numbers 899, 775, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.