GCD of 632, 684, 310 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 632, 684, 310 quickly. Get the easiest ways to solve the greatest common divisor of 632, 684, 310 i.e 2 in different methods as follows.
Given Input numbers are 632, 684, 310
In the factoring method, we have to find the divisors of all numbers
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
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 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
GCD of numbers is the greatest common divisor
So, the GCD (632, 684, 310) = 2.
Given numbers are 632, 684, 310
The list of prime factors of all numbers are
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 310 are 2 x 5 x 31
The highest common occurrence is 21
Therefore, GCD of 632, 684, 310 is 2.
Steps to Calculate GCD of 632, 684, 310 using LCM Formula
Given numbers are 632, 684, 310
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(632, 684) = 108072
GCD(632, 684) = ( 632 x 684 ) / 108072
= 632 / 684
= 632
Step2:
LCM(4, 310) = 620
GCD(4, 310) = ( 4 x 310 ) / 620
= 4 / 310
= 4
So, Greatest Common Divisor of 632, 684, 310 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 632, 684, 310
Given numbers are 632, 684, 310
The greatest common divisor of numbers 632, 684, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 632, 684, 310 is 2.
FAQs on GCD of 632, 684, 310 Calculator
1. What is the GCD of 632, 684, 310?
GCD of given numbers 632, 684, 310 is 2
2. How to calculate the greatest common divisor of 632, 684, 310?
We can find the highest common divisor of 632, 684, 310 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 632, 684, 310 i.e 2.
3. How can I use the GCD of 632, 684, 310Calculator?
Out the numbers 632, 684, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.