GCD of 705, 850, 965 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 705, 850, 965 quickly. Get the easiest ways to solve the greatest common divisor of 705, 850, 965 i.e 5 in different methods as follows.
Given Input numbers are 705, 850, 965
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
GCD of numbers is the greatest common divisor
So, the GCD (705, 850, 965) = 5.
Given numbers are 705, 850, 965
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 965 are 5 x 193
The highest common occurrence is 51
Therefore, GCD of 705, 850, 965 is 5.
Steps to Calculate GCD of 705, 850, 965 using LCM Formula
Given numbers are 705, 850, 965
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 850) = 119850
GCD(705, 850) = ( 705 x 850 ) / 119850
= 705 / 850
= 705
Step2:
LCM(5, 965) = 965
GCD(5, 965) = ( 5 x 965 ) / 965
= 5 / 965
= 5
So, Greatest Common Divisor of 705, 850, 965 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 705, 850, 965
Given numbers are 705, 850, 965
The greatest common divisor of numbers 705, 850, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 850, 965 is 5.
FAQs on GCD of 705, 850, 965 Calculator
1. What is the GCD of 705, 850, 965?
GCD of given numbers 705, 850, 965 is 5
2. How to calculate the greatest common divisor of 705, 850, 965?
We can find the highest common divisor of 705, 850, 965 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 705, 850, 965 i.e 5.
3. How can I use the GCD of 705, 850, 965Calculator?
Out the numbers 705, 850, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.