Online GCD Calculator is useful to find the GCD of 914, 918, 764, 938 quickly. Get the easiest ways to solve the greatest common divisor of 914, 918, 764, 938 i.e 2 in different methods as follows.
Given Input numbers are 914, 918, 764, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
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 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (914, 918, 764, 938) = 2.
Given numbers are 914, 918, 764, 938
The list of prime factors of all numbers are
Prime factors of 914 are 2 x 457
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 764 are 2 x 2 x 191
Prime factors of 938 are 2 x 7 x 67
The highest common occurrence is 21
Therefore, GCD of 914, 918, 764, 938 is 2.
Given numbers are 914, 918, 764, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(914, 918) = 419526
GCD(914, 918) = ( 914 x 918 ) / 419526
= 914 / 918
= 914
Step2:
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
= 2 / 764
= 2
Step3:
LCM(2, 938) = 938
GCD(2, 938) = ( 2 x 938 ) / 938
= 2 / 938
= 2
So, Greatest Common Divisor of 914, 918, 764, 938 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 914, 918, 764, 938
The greatest common divisor of numbers 914, 918, 764, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 918, 764, 938 is 2.
1. What is the GCD of 914, 918, 764, 938?
GCD of given numbers 914, 918, 764, 938 is 2
2. How to calculate the greatest common divisor of 914, 918, 764, 938?
We can find the highest common divisor of 914, 918, 764, 938 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 914, 918, 764, 938 i.e 2.
3. How can I use the GCD of 914, 918, 764, 938Calculator?
Out the numbers 914, 918, 764, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.