Online GCD Calculator is useful to find the GCD of 156, 837, 933, 270 quickly. Get the easiest ways to solve the greatest common divisor of 156, 837, 933, 270 i.e 3 in different methods as follows.
Given Input numbers are 156, 837, 933, 270
In the factoring method, we have to find the divisors of all numbers
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 837 :
The positive integer divisors of 837 that completely divides 837 are.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 933 :
The positive integer divisors of 933 that completely divides 933 are.
1, 3, 311, 933
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
GCD of numbers is the greatest common divisor
So, the GCD (156, 837, 933, 270) = 3.
Given numbers are 156, 837, 933, 270
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 837 are 3 x 3 x 3 x 31
Prime factors of 933 are 3 x 311
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 156, 837, 933, 270 is 3.
Given numbers are 156, 837, 933, 270
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 837) = 43524
GCD(156, 837) = ( 156 x 837 ) / 43524
= 156 / 837
= 156
Step2:
LCM(3, 933) = 933
GCD(3, 933) = ( 3 x 933 ) / 933
= 3 / 933
= 3
Step3:
LCM(3, 270) = 270
GCD(3, 270) = ( 3 x 270 ) / 270
= 3 / 270
= 3
So, Greatest Common Divisor of 156, 837, 933, 270 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 837, 933, 270
The greatest common divisor of numbers 156, 837, 933, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 837, 933, 270 is 3.
1. What is the GCD of 156, 837, 933, 270?
GCD of given numbers 156, 837, 933, 270 is 3
2. How to calculate the greatest common divisor of 156, 837, 933, 270?
We can find the highest common divisor of 156, 837, 933, 270 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 156, 837, 933, 270 i.e 3.
3. How can I use the GCD of 156, 837, 933, 270Calculator?
Out the numbers 156, 837, 933, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.