Online GCD Calculator is useful to find the GCD of 420, 886, 432, 342 quickly. Get the easiest ways to solve the greatest common divisor of 420, 886, 432, 342 i.e 2 in different methods as follows.
Given Input numbers are 420, 886, 432, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 886 :
The positive integer divisors of 886 that completely divides 886 are.
1, 2, 443, 886
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
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (420, 886, 432, 342) = 2.
Given numbers are 420, 886, 432, 342
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 886 are 2 x 443
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 420, 886, 432, 342 is 2.
Given numbers are 420, 886, 432, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 886) = 186060
GCD(420, 886) = ( 420 x 886 ) / 186060
= 420 / 886
= 420
Step2:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 420, 886, 432, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 886, 432, 342
The greatest common divisor of numbers 420, 886, 432, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 886, 432, 342 is 2.
1. What is the GCD of 420, 886, 432, 342?
GCD of given numbers 420, 886, 432, 342 is 2
2. How to calculate the greatest common divisor of 420, 886, 432, 342?
We can find the highest common divisor of 420, 886, 432, 342 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 420, 886, 432, 342 i.e 2.
3. How can I use the GCD of 420, 886, 432, 342Calculator?
Out the numbers 420, 886, 432, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.