GCD of 685, 170, 55 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 685, 170, 55 quickly. Get the easiest ways to solve the greatest common divisor of 685, 170, 55 i.e 5 in different methods as follows.
Given Input numbers are 685, 170, 55
In the factoring method, we have to find the divisors of all numbers
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 55 :
The positive integer divisors of 55 that completely divides 55 are.
1, 5, 11, 55
GCD of numbers is the greatest common divisor
So, the GCD (685, 170, 55) = 5.
Given numbers are 685, 170, 55
The list of prime factors of all numbers are
Prime factors of 685 are 5 x 137
Prime factors of 170 are 2 x 5 x 17
Prime factors of 55 are 5 x 11
The highest common occurrence is 51
Therefore, GCD of 685, 170, 55 is 5.
Steps to Calculate GCD of 685, 170, 55 using LCM Formula
Given numbers are 685, 170, 55
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(685, 170) = 23290
GCD(685, 170) = ( 685 x 170 ) / 23290
= 685 / 170
= 685
Step2:
LCM(5, 55) = 55
GCD(5, 55) = ( 5 x 55 ) / 55
= 5 / 55
= 5
So, Greatest Common Divisor of 685, 170, 55 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 685, 170, 55
Given numbers are 685, 170, 55
The greatest common divisor of numbers 685, 170, 55 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 170, 55 is 5.
FAQs on GCD of 685, 170, 55 Calculator
1. What is the GCD of 685, 170, 55?
GCD of given numbers 685, 170, 55 is 5
2. How to calculate the greatest common divisor of 685, 170, 55?
We can find the highest common divisor of 685, 170, 55 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 685, 170, 55 i.e 5.
3. How can I use the GCD of 685, 170, 55Calculator?
Out the numbers 685, 170, 55 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.