Online GCD Calculator is useful to find the GCD of 916, 918, 118, 378 quickly. Get the easiest ways to solve the greatest common divisor of 916, 918, 118, 378 i.e 2 in different methods as follows.
Given Input numbers are 916, 918, 118, 378
In the factoring method, we have to find the divisors of all numbers
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD of numbers is the greatest common divisor
So, the GCD (916, 918, 118, 378) = 2.
Given numbers are 916, 918, 118, 378
The list of prime factors of all numbers are
Prime factors of 916 are 2 x 2 x 229
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 118 are 2 x 59
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 916, 918, 118, 378 is 2.
Given numbers are 916, 918, 118, 378
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(916, 918) = 420444
GCD(916, 918) = ( 916 x 918 ) / 420444
= 916 / 918
= 916
Step2:
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
= 2 / 118
= 2
Step3:
LCM(2, 378) = 378
GCD(2, 378) = ( 2 x 378 ) / 378
= 2 / 378
= 2
So, Greatest Common Divisor of 916, 918, 118, 378 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 916, 918, 118, 378
The greatest common divisor of numbers 916, 918, 118, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 918, 118, 378 is 2.
1. What is the GCD of 916, 918, 118, 378?
GCD of given numbers 916, 918, 118, 378 is 2
2. How to calculate the greatest common divisor of 916, 918, 118, 378?
We can find the highest common divisor of 916, 918, 118, 378 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 916, 918, 118, 378 i.e 2.
3. How can I use the GCD of 916, 918, 118, 378Calculator?
Out the numbers 916, 918, 118, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.