Online GCD Calculator is useful to find the GCD of 274, 182, 842, 136 quickly. Get the easiest ways to solve the greatest common divisor of 274, 182, 842, 136 i.e 2 in different methods as follows.
Given Input numbers are 274, 182, 842, 136
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
GCD of numbers is the greatest common divisor
So, the GCD (274, 182, 842, 136) = 2.
Given numbers are 274, 182, 842, 136
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 182 are 2 x 7 x 13
Prime factors of 842 are 2 x 421
Prime factors of 136 are 2 x 2 x 2 x 17
The highest common occurrence is 21
Therefore, GCD of 274, 182, 842, 136 is 2.
Given numbers are 274, 182, 842, 136
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 182) = 24934
GCD(274, 182) = ( 274 x 182 ) / 24934
= 274 / 182
= 274
Step2:
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
= 2 / 842
= 2
Step3:
LCM(2, 136) = 136
GCD(2, 136) = ( 2 x 136 ) / 136
= 2 / 136
= 2
So, Greatest Common Divisor of 274, 182, 842, 136 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 182, 842, 136
The greatest common divisor of numbers 274, 182, 842, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 182, 842, 136 is 2.
1. What is the GCD of 274, 182, 842, 136?
GCD of given numbers 274, 182, 842, 136 is 2
2. How to calculate the greatest common divisor of 274, 182, 842, 136?
We can find the highest common divisor of 274, 182, 842, 136 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 274, 182, 842, 136 i.e 2.
3. How can I use the GCD of 274, 182, 842, 136Calculator?
Out the numbers 274, 182, 842, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.