GCD of 478, 684, 687 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 478, 684, 687 quickly. Get the easiest ways to solve the greatest common divisor of 478, 684, 687 i.e 1 in different methods as follows.
Given Input numbers are 478, 684, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (478, 684, 687) = 1.
Given numbers are 478, 684, 687
The list of prime factors of all numbers are
Prime factors of 478 are 2 x 239
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 478, 684, 687 using LCM Formula
Given numbers are 478, 684, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(478, 684) = 163476
GCD(478, 684) = ( 478 x 684 ) / 163476
= 478 / 684
= 478
Step2:
LCM(2, 687) = 1374
GCD(2, 687) = ( 2 x 687 ) / 1374
= 2 / 687
= 2
So, Greatest Common Divisor of 478, 684, 687 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 478, 684, 687
Given numbers are 478, 684, 687
The greatest common divisor of numbers 478, 684, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 684, 687 is 1.
FAQs on GCD of 478, 684, 687 Calculator
1. What is the GCD of 478, 684, 687?
GCD of given numbers 478, 684, 687 is 1
2. How to calculate the greatest common divisor of 478, 684, 687?
We can find the highest common divisor of 478, 684, 687 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 478, 684, 687 i.e 1.
3. How can I use the GCD of 478, 684, 687Calculator?
Out the numbers 478, 684, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.