Online GCD Calculator is useful to find the GCD of 696, 810, 422, 432 quickly. Get the easiest ways to solve the greatest common divisor of 696, 810, 422, 432 i.e 2 in different methods as follows.
Given Input numbers are 696, 810, 422, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
GCD of numbers is the greatest common divisor
So, the GCD (696, 810, 422, 432) = 2.
Given numbers are 696, 810, 422, 432
The list of prime factors of all numbers are
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 422 are 2 x 211
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 696, 810, 422, 432 is 2.
Given numbers are 696, 810, 422, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(696, 810) = 93960
GCD(696, 810) = ( 696 x 810 ) / 93960
= 696 / 810
= 696
Step2:
LCM(6, 422) = 1266
GCD(6, 422) = ( 6 x 422 ) / 1266
= 6 / 422
= 6
Step3:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
So, Greatest Common Divisor of 696, 810, 422, 432 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 696, 810, 422, 432
The greatest common divisor of numbers 696, 810, 422, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 696, 810, 422, 432 is 2.
1. What is the GCD of 696, 810, 422, 432?
GCD of given numbers 696, 810, 422, 432 is 2
2. How to calculate the greatest common divisor of 696, 810, 422, 432?
We can find the highest common divisor of 696, 810, 422, 432 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 696, 810, 422, 432 i.e 2.
3. How can I use the GCD of 696, 810, 422, 432Calculator?
Out the numbers 696, 810, 422, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.