Online GCD Calculator is useful to find the GCD of 272, 136, 558, 842 quickly. Get the easiest ways to solve the greatest common divisor of 272, 136, 558, 842 i.e 2 in different methods as follows.
Given Input numbers are 272, 136, 558, 842
In the factoring method, we have to find the divisors of all numbers
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 558 :
The positive integer divisors of 558 that completely divides 558 are.
1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
GCD of numbers is the greatest common divisor
So, the GCD (272, 136, 558, 842) = 2.
Given numbers are 272, 136, 558, 842
The list of prime factors of all numbers are
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 558 are 2 x 3 x 3 x 31
Prime factors of 842 are 2 x 421
The highest common occurrence is 21
Therefore, GCD of 272, 136, 558, 842 is 2.
Given numbers are 272, 136, 558, 842
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(272, 136) = 272
GCD(272, 136) = ( 272 x 136 ) / 272
= 272 / 136
= 272
Step2:
LCM(136, 558) = 37944
GCD(136, 558) = ( 136 x 558 ) / 37944
= 136 / 558
= 136
Step3:
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
= 2 / 842
= 2
So, Greatest Common Divisor of 272, 136, 558, 842 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 272, 136, 558, 842
The greatest common divisor of numbers 272, 136, 558, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 136, 558, 842 is 2.
1. What is the GCD of 272, 136, 558, 842?
GCD of given numbers 272, 136, 558, 842 is 2
2. How to calculate the greatest common divisor of 272, 136, 558, 842?
We can find the highest common divisor of 272, 136, 558, 842 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 272, 136, 558, 842 i.e 2.
3. How can I use the GCD of 272, 136, 558, 842Calculator?
Out the numbers 272, 136, 558, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.