Online GCD Calculator is useful to find the GCD of 212, 274, 136, 156 quickly. Get the easiest ways to solve the greatest common divisor of 212, 274, 136, 156 i.e 2 in different methods as follows.
Given Input numbers are 212, 274, 136, 156
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
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
GCD of numbers is the greatest common divisor
So, the GCD (212, 274, 136, 156) = 2.
Given numbers are 212, 274, 136, 156
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 274 are 2 x 137
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 212, 274, 136, 156 is 2.
Given numbers are 212, 274, 136, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 274) = 29044
GCD(212, 274) = ( 212 x 274 ) / 29044
= 212 / 274
= 212
Step2:
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
= 2 / 136
= 2
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 212, 274, 136, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 274, 136, 156
The greatest common divisor of numbers 212, 274, 136, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 274, 136, 156 is 2.
1. What is the GCD of 212, 274, 136, 156?
GCD of given numbers 212, 274, 136, 156 is 2
2. How to calculate the greatest common divisor of 212, 274, 136, 156?
We can find the highest common divisor of 212, 274, 136, 156 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 212, 274, 136, 156 i.e 2.
3. How can I use the GCD of 212, 274, 136, 156Calculator?
Out the numbers 212, 274, 136, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.