GCD of 825, 149, 913 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 825, 149, 913 quickly. Get the easiest ways to solve the greatest common divisor of 825, 149, 913 i.e 1 in different methods as follows.
Given Input numbers are 825, 149, 913
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 913 :
The positive integer divisors of 913 that completely divides 913 are.
1, 11, 83, 913
GCD of numbers is the greatest common divisor
So, the GCD (825, 149, 913) = 1.
Given numbers are 825, 149, 913
The list of prime factors of all numbers are
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 149 are 149
Prime factors of 913 are 11 x 83
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 825, 149, 913 using LCM Formula
Given numbers are 825, 149, 913
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(825, 149) = 122925
GCD(825, 149) = ( 825 x 149 ) / 122925
= 825 / 149
= 825
Step2:
LCM(1, 913) = 913
GCD(1, 913) = ( 1 x 913 ) / 913
= 1 / 913
= 1
So, Greatest Common Divisor of 825, 149, 913 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 825, 149, 913
Given numbers are 825, 149, 913
The greatest common divisor of numbers 825, 149, 913 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 149, 913 is 1.
FAQs on GCD of 825, 149, 913 Calculator
1. What is the GCD of 825, 149, 913?
GCD of given numbers 825, 149, 913 is 1
2. How to calculate the greatest common divisor of 825, 149, 913?
We can find the highest common divisor of 825, 149, 913 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 825, 149, 913 i.e 1.
3. How can I use the GCD of 825, 149, 913Calculator?
Out the numbers 825, 149, 913 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.