Online GCD Calculator is useful to find the GCD of 180, 484, 226, 662 quickly. Get the easiest ways to solve the greatest common divisor of 180, 484, 226, 662 i.e 2 in different methods as follows.
Given Input numbers are 180, 484, 226, 662
In the factoring method, we have to find the divisors of all numbers
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
GCD of numbers is the greatest common divisor
So, the GCD (180, 484, 226, 662) = 2.
Given numbers are 180, 484, 226, 662
The list of prime factors of all numbers are
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 226 are 2 x 113
Prime factors of 662 are 2 x 331
The highest common occurrence is 21
Therefore, GCD of 180, 484, 226, 662 is 2.
Given numbers are 180, 484, 226, 662
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(180, 484) = 21780
GCD(180, 484) = ( 180 x 484 ) / 21780
= 180 / 484
= 180
Step2:
LCM(4, 226) = 452
GCD(4, 226) = ( 4 x 226 ) / 452
= 4 / 226
= 4
Step3:
LCM(2, 662) = 662
GCD(2, 662) = ( 2 x 662 ) / 662
= 2 / 662
= 2
So, Greatest Common Divisor of 180, 484, 226, 662 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 180, 484, 226, 662
The greatest common divisor of numbers 180, 484, 226, 662 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 484, 226, 662 is 2.
1. What is the GCD of 180, 484, 226, 662?
GCD of given numbers 180, 484, 226, 662 is 2
2. How to calculate the greatest common divisor of 180, 484, 226, 662?
We can find the highest common divisor of 180, 484, 226, 662 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 180, 484, 226, 662 i.e 2.
3. How can I use the GCD of 180, 484, 226, 662Calculator?
Out the numbers 180, 484, 226, 662 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.