Online GCD Calculator is useful to find the GCD of 184, 126, 140, 228 quickly. Get the easiest ways to solve the greatest common divisor of 184, 126, 140, 228 i.e 2 in different methods as follows.
Given Input numbers are 184, 126, 140, 228
In the factoring method, we have to find the divisors of all numbers
Divisors of 184 :
The positive integer divisors of 184 that completely divides 184 are.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 228 :
The positive integer divisors of 228 that completely divides 228 are.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD of numbers is the greatest common divisor
So, the GCD (184, 126, 140, 228) = 2.
Given numbers are 184, 126, 140, 228
The list of prime factors of all numbers are
Prime factors of 184 are 2 x 2 x 2 x 23
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 228 are 2 x 2 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 184, 126, 140, 228 is 2.
Given numbers are 184, 126, 140, 228
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(184, 126) = 11592
GCD(184, 126) = ( 184 x 126 ) / 11592
= 184 / 126
= 184
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 228) = 228
GCD(2, 228) = ( 2 x 228 ) / 228
= 2 / 228
= 2
So, Greatest Common Divisor of 184, 126, 140, 228 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 184, 126, 140, 228
The greatest common divisor of numbers 184, 126, 140, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 184, 126, 140, 228 is 2.
1. What is the GCD of 184, 126, 140, 228?
GCD of given numbers 184, 126, 140, 228 is 2
2. How to calculate the greatest common divisor of 184, 126, 140, 228?
We can find the highest common divisor of 184, 126, 140, 228 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 184, 126, 140, 228 i.e 2.
3. How can I use the GCD of 184, 126, 140, 228Calculator?
Out the numbers 184, 126, 140, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.