GCD of 965, 825, 150 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 965, 825, 150 quickly. Get the easiest ways to solve the greatest common divisor of 965, 825, 150 i.e 5 in different methods as follows.
Given Input numbers are 965, 825, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
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 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (965, 825, 150) = 5.
Given numbers are 965, 825, 150
The list of prime factors of all numbers are
Prime factors of 965 are 5 x 193
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 965, 825, 150 is 5.
Steps to Calculate GCD of 965, 825, 150 using LCM Formula
Given numbers are 965, 825, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(965, 825) = 159225
GCD(965, 825) = ( 965 x 825 ) / 159225
= 965 / 825
= 965
Step2:
LCM(5, 150) = 150
GCD(5, 150) = ( 5 x 150 ) / 150
= 5 / 150
= 5
So, Greatest Common Divisor of 965, 825, 150 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 965, 825, 150
Given numbers are 965, 825, 150
The greatest common divisor of numbers 965, 825, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 965, 825, 150 is 5.
FAQs on GCD of 965, 825, 150 Calculator
1. What is the GCD of 965, 825, 150?
GCD of given numbers 965, 825, 150 is 5
2. How to calculate the greatest common divisor of 965, 825, 150?
We can find the highest common divisor of 965, 825, 150 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 965, 825, 150 i.e 5.
3. How can I use the GCD of 965, 825, 150Calculator?
Out the numbers 965, 825, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.