Online GCD Calculator is useful to find the GCD of 420, 116, 836 quickly. Get the easiest ways to solve the greatest common divisor of 420, 116, 836 i.e 4 in different methods as follows.
Given Input numbers are 420, 116, 836
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 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
GCD of numbers is the greatest common divisor
So, the GCD (420, 116, 836) = 4.
Given numbers are 420, 116, 836
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 116 are 2 x 2 x 29
Prime factors of 836 are 2 x 2 x 11 x 19
The highest common occurrence is 22
Therefore, GCD of 420, 116, 836 is 4.
Given numbers are 420, 116, 836
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 116) = 12180
GCD(420, 116) = ( 420 x 116 ) / 12180
= 420 / 116
= 420
Step2:
LCM(4, 836) = 836
GCD(4, 836) = ( 4 x 836 ) / 836
= 4 / 836
= 4
So, Greatest Common Divisor of 420, 116, 836 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 116, 836
The greatest common divisor of numbers 420, 116, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 116, 836 is 4.
1. What is the GCD of 420, 116, 836?
GCD of given numbers 420, 116, 836 is 4
2. How to calculate the greatest common divisor of 420, 116, 836?
We can find the highest common divisor of 420, 116, 836 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, 116, 836 i.e 4.
3. How can I use the GCD of 420, 116, 836Calculator?
Out the numbers 420, 116, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.