Online GCD Calculator is useful to find the GCD of 836, 256, 142, 360 quickly. Get the easiest ways to solve the greatest common divisor of 836, 256, 142, 360 i.e 2 in different methods as follows.
Given Input numbers are 836, 256, 142, 360
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 256 :
The positive integer divisors of 256 that completely divides 256 are.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (836, 256, 142, 360) = 2.
Given numbers are 836, 256, 142, 360
The list of prime factors of all numbers are
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 142 are 2 x 71
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 836, 256, 142, 360 is 2.
Given numbers are 836, 256, 142, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(836, 256) = 53504
GCD(836, 256) = ( 836 x 256 ) / 53504
= 836 / 256
= 836
Step2:
LCM(4, 142) = 284
GCD(4, 142) = ( 4 x 142 ) / 284
= 4 / 142
= 4
Step3:
LCM(2, 360) = 360
GCD(2, 360) = ( 2 x 360 ) / 360
= 2 / 360
= 2
So, Greatest Common Divisor of 836, 256, 142, 360 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 836, 256, 142, 360
The greatest common divisor of numbers 836, 256, 142, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 836, 256, 142, 360 is 2.
1. What is the GCD of 836, 256, 142, 360?
GCD of given numbers 836, 256, 142, 360 is 2
2. How to calculate the greatest common divisor of 836, 256, 142, 360?
We can find the highest common divisor of 836, 256, 142, 360 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 836, 256, 142, 360 i.e 2.
3. How can I use the GCD of 836, 256, 142, 360Calculator?
Out the numbers 836, 256, 142, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.