Online GCD Calculator is useful to find the GCD of 156, 120, 570, 268 quickly. Get the easiest ways to solve the greatest common divisor of 156, 120, 570, 268 i.e 2 in different methods as follows.
Given Input numbers are 156, 120, 570, 268
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 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
GCD of numbers is the greatest common divisor
So, the GCD (156, 120, 570, 268) = 2.
Given numbers are 156, 120, 570, 268
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 268 are 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 156, 120, 570, 268 is 2.
Given numbers are 156, 120, 570, 268
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 120) = 1560
GCD(156, 120) = ( 156 x 120 ) / 1560
= 156 / 120
= 156
Step2:
LCM(12, 570) = 1140
GCD(12, 570) = ( 12 x 570 ) / 1140
= 12 / 570
= 12
Step3:
LCM(6, 268) = 804
GCD(6, 268) = ( 6 x 268 ) / 804
= 6 / 268
= 6
So, Greatest Common Divisor of 156, 120, 570, 268 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 120, 570, 268
The greatest common divisor of numbers 156, 120, 570, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 120, 570, 268 is 2.
1. What is the GCD of 156, 120, 570, 268?
GCD of given numbers 156, 120, 570, 268 is 2
2. How to calculate the greatest common divisor of 156, 120, 570, 268?
We can find the highest common divisor of 156, 120, 570, 268 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, 120, 570, 268 i.e 2.
3. How can I use the GCD of 156, 120, 570, 268Calculator?
Out the numbers 156, 120, 570, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.