Online GCD Calculator is useful to find the GCD of 112, 240, 312, 336 quickly. Get the easiest ways to solve the greatest common divisor of 112, 240, 312, 336 i.e 8 in different methods as follows.
Given Input numbers are 112, 240, 312, 336
In the factoring method, we have to find the divisors of all numbers
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 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (112, 240, 312, 336) = 8.
Given numbers are 112, 240, 312, 336
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 23
Therefore, GCD of 112, 240, 312, 336 is 8.
Given numbers are 112, 240, 312, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 240) = 1680
GCD(112, 240) = ( 112 x 240 ) / 1680
= 112 / 240
= 112
Step2:
LCM(16, 312) = 624
GCD(16, 312) = ( 16 x 312 ) / 624
= 16 / 312
= 16
Step3:
LCM(8, 336) = 336
GCD(8, 336) = ( 8 x 336 ) / 336
= 8 / 336
= 8
So, Greatest Common Divisor of 112, 240, 312, 336 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 112, 240, 312, 336
The greatest common divisor of numbers 112, 240, 312, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 240, 312, 336 is 8.
1. What is the GCD of 112, 240, 312, 336?
GCD of given numbers 112, 240, 312, 336 is 8
2. How to calculate the greatest common divisor of 112, 240, 312, 336?
We can find the highest common divisor of 112, 240, 312, 336 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 112, 240, 312, 336 i.e 8.
3. How can I use the GCD of 112, 240, 312, 336Calculator?
Out the numbers 112, 240, 312, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.