Online GCD Calculator is useful to find the GCD of 302, 360, 236, 438 quickly. Get the easiest ways to solve the greatest common divisor of 302, 360, 236, 438 i.e 2 in different methods as follows.
Given Input numbers are 302, 360, 236, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (302, 360, 236, 438) = 2.
Given numbers are 302, 360, 236, 438
The list of prime factors of all numbers are
Prime factors of 302 are 2 x 151
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 236 are 2 x 2 x 59
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 302, 360, 236, 438 is 2.
Given numbers are 302, 360, 236, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(302, 360) = 54360
GCD(302, 360) = ( 302 x 360 ) / 54360
= 302 / 360
= 302
Step2:
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
= 2 / 236
= 2
Step3:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
So, Greatest Common Divisor of 302, 360, 236, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 302, 360, 236, 438
The greatest common divisor of numbers 302, 360, 236, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 360, 236, 438 is 2.
1. What is the GCD of 302, 360, 236, 438?
GCD of given numbers 302, 360, 236, 438 is 2
2. How to calculate the greatest common divisor of 302, 360, 236, 438?
We can find the highest common divisor of 302, 360, 236, 438 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 302, 360, 236, 438 i.e 2.
3. How can I use the GCD of 302, 360, 236, 438Calculator?
Out the numbers 302, 360, 236, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.