GCD of 695, 815, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 695, 815, 60 quickly. Get the easiest ways to solve the greatest common divisor of 695, 815, 60 i.e 5 in different methods as follows.
Given Input numbers are 695, 815, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
Divisors of 815 :
The positive integer divisors of 815 that completely divides 815 are.
1, 5, 163, 815
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
GCD of numbers is the greatest common divisor
So, the GCD (695, 815, 60) = 5.
Given numbers are 695, 815, 60
The list of prime factors of all numbers are
Prime factors of 695 are 5 x 139
Prime factors of 815 are 5 x 163
Prime factors of 60 are 2 x 2 x 3 x 5
The highest common occurrence is 51
Therefore, GCD of 695, 815, 60 is 5.
Steps to Calculate GCD of 695, 815, 60 using LCM Formula
Given numbers are 695, 815, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(695, 815) = 113285
GCD(695, 815) = ( 695 x 815 ) / 113285
= 695 / 815
= 695
Step2:
LCM(5, 60) = 60
GCD(5, 60) = ( 5 x 60 ) / 60
= 5 / 60
= 5
So, Greatest Common Divisor of 695, 815, 60 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 695, 815, 60
Given numbers are 695, 815, 60
The greatest common divisor of numbers 695, 815, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 695, 815, 60 is 5.
FAQs on GCD of 695, 815, 60 Calculator
1. What is the GCD of 695, 815, 60?
GCD of given numbers 695, 815, 60 is 5
2. How to calculate the greatest common divisor of 695, 815, 60?
We can find the highest common divisor of 695, 815, 60 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 695, 815, 60 i.e 5.
3. How can I use the GCD of 695, 815, 60Calculator?
Out the numbers 695, 815, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.