Online GCD Calculator is useful to find the GCD of 836, 786, 654, 162 quickly. Get the easiest ways to solve the greatest common divisor of 836, 786, 654, 162 i.e 2 in different methods as follows.
Given Input numbers are 836, 786, 654, 162
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 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (836, 786, 654, 162) = 2.
Given numbers are 836, 786, 654, 162
The list of prime factors of all numbers are
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 786 are 2 x 3 x 131
Prime factors of 654 are 2 x 3 x 109
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 836, 786, 654, 162 is 2.
Given numbers are 836, 786, 654, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(836, 786) = 328548
GCD(836, 786) = ( 836 x 786 ) / 328548
= 836 / 786
= 836
Step2:
LCM(2, 654) = 654
GCD(2, 654) = ( 2 x 654 ) / 654
= 2 / 654
= 2
Step3:
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
= 2 / 162
= 2
So, Greatest Common Divisor of 836, 786, 654, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 836, 786, 654, 162
The greatest common divisor of numbers 836, 786, 654, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 836, 786, 654, 162 is 2.
1. What is the GCD of 836, 786, 654, 162?
GCD of given numbers 836, 786, 654, 162 is 2
2. How to calculate the greatest common divisor of 836, 786, 654, 162?
We can find the highest common divisor of 836, 786, 654, 162 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, 786, 654, 162 i.e 2.
3. How can I use the GCD of 836, 786, 654, 162Calculator?
Out the numbers 836, 786, 654, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.