GCD of 170, 400, 725 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 170, 400, 725 quickly. Get the easiest ways to solve the greatest common divisor of 170, 400, 725 i.e 5 in different methods as follows.
Given Input numbers are 170, 400, 725
In the factoring method, we have to find the divisors of all numbers
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
GCD of numbers is the greatest common divisor
So, the GCD (170, 400, 725) = 5.
Given numbers are 170, 400, 725
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 725 are 5 x 5 x 29
The highest common occurrence is 51
Therefore, GCD of 170, 400, 725 is 5.
Steps to Calculate GCD of 170, 400, 725 using LCM Formula
Given numbers are 170, 400, 725
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 400) = 6800
GCD(170, 400) = ( 170 x 400 ) / 6800
= 170 / 400
= 170
Step2:
LCM(10, 725) = 1450
GCD(10, 725) = ( 10 x 725 ) / 1450
= 10 / 725
= 10
So, Greatest Common Divisor of 170, 400, 725 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 170, 400, 725
Given numbers are 170, 400, 725
The greatest common divisor of numbers 170, 400, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 400, 725 is 5.
FAQs on GCD of 170, 400, 725 Calculator
1. What is the GCD of 170, 400, 725?
GCD of given numbers 170, 400, 725 is 5
2. How to calculate the greatest common divisor of 170, 400, 725?
We can find the highest common divisor of 170, 400, 725 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 170, 400, 725 i.e 5.
3. How can I use the GCD of 170, 400, 725Calculator?
Out the numbers 170, 400, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.