Online GCD Calculator is useful to find the GCD of 720, 112, 338, 236 quickly. Get the easiest ways to solve the greatest common divisor of 720, 112, 338, 236 i.e 2 in different methods as follows.
Given Input numbers are 720, 112, 338, 236
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 236 :
The positive integer divisors of 236 that completely divides 236 are.
1, 2, 4, 59, 118, 236
GCD of numbers is the greatest common divisor
So, the GCD (720, 112, 338, 236) = 2.
Given numbers are 720, 112, 338, 236
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 338 are 2 x 13 x 13
Prime factors of 236 are 2 x 2 x 59
The highest common occurrence is 21
Therefore, GCD of 720, 112, 338, 236 is 2.
Given numbers are 720, 112, 338, 236
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 112) = 5040
GCD(720, 112) = ( 720 x 112 ) / 5040
= 720 / 112
= 720
Step2:
LCM(16, 338) = 2704
GCD(16, 338) = ( 16 x 338 ) / 2704
= 16 / 338
= 16
Step3:
LCM(2, 236) = 236
GCD(2, 236) = ( 2 x 236 ) / 236
= 2 / 236
= 2
So, Greatest Common Divisor of 720, 112, 338, 236 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 112, 338, 236
The greatest common divisor of numbers 720, 112, 338, 236 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 112, 338, 236 is 2.
1. What is the GCD of 720, 112, 338, 236?
GCD of given numbers 720, 112, 338, 236 is 2
2. How to calculate the greatest common divisor of 720, 112, 338, 236?
We can find the highest common divisor of 720, 112, 338, 236 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 720, 112, 338, 236 i.e 2.
3. How can I use the GCD of 720, 112, 338, 236Calculator?
Out the numbers 720, 112, 338, 236 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.