GCD of 470, 676, 686 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 470, 676, 686 quickly. Get the easiest ways to solve the greatest common divisor of 470, 676, 686 i.e 2 in different methods as follows.
Given Input numbers are 470, 676, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (470, 676, 686) = 2.
Given numbers are 470, 676, 686
The list of prime factors of all numbers are
Prime factors of 470 are 2 x 5 x 47
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 686 are 2 x 7 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 470, 676, 686 is 2.
Steps to Calculate GCD of 470, 676, 686 using LCM Formula
Given numbers are 470, 676, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(470, 676) = 158860
GCD(470, 676) = ( 470 x 676 ) / 158860
= 470 / 676
= 470
Step2:
LCM(2, 686) = 686
GCD(2, 686) = ( 2 x 686 ) / 686
= 2 / 686
= 2
So, Greatest Common Divisor of 470, 676, 686 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 470, 676, 686
Given numbers are 470, 676, 686
The greatest common divisor of numbers 470, 676, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 676, 686 is 2.
FAQs on GCD of 470, 676, 686 Calculator
1. What is the GCD of 470, 676, 686?
GCD of given numbers 470, 676, 686 is 2
2. How to calculate the greatest common divisor of 470, 676, 686?
We can find the highest common divisor of 470, 676, 686 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 470, 676, 686 i.e 2.
3. How can I use the GCD of 470, 676, 686Calculator?
Out the numbers 470, 676, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.