Online GCD Calculator is useful to find the GCD of 182, 414, 116, 428 quickly. Get the easiest ways to solve the greatest common divisor of 182, 414, 116, 428 i.e 2 in different methods as follows.
Given Input numbers are 182, 414, 116, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (182, 414, 116, 428) = 2.
Given numbers are 182, 414, 116, 428
The list of prime factors of all numbers are
Prime factors of 182 are 2 x 7 x 13
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 116 are 2 x 2 x 29
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 182, 414, 116, 428 is 2.
Given numbers are 182, 414, 116, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(182, 414) = 37674
GCD(182, 414) = ( 182 x 414 ) / 37674
= 182 / 414
= 182
Step2:
LCM(2, 116) = 116
GCD(2, 116) = ( 2 x 116 ) / 116
= 2 / 116
= 2
Step3:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
So, Greatest Common Divisor of 182, 414, 116, 428 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 182, 414, 116, 428
The greatest common divisor of numbers 182, 414, 116, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 182, 414, 116, 428 is 2.
1. What is the GCD of 182, 414, 116, 428?
GCD of given numbers 182, 414, 116, 428 is 2
2. How to calculate the greatest common divisor of 182, 414, 116, 428?
We can find the highest common divisor of 182, 414, 116, 428 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 182, 414, 116, 428 i.e 2.
3. How can I use the GCD of 182, 414, 116, 428Calculator?
Out the numbers 182, 414, 116, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.