Online GCD Calculator is useful to find the GCD of 370, 676, 968, 918 quickly. Get the easiest ways to solve the greatest common divisor of 370, 676, 968, 918 i.e 2 in different methods as follows.
Given Input numbers are 370, 676, 968, 918
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
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
GCD of numbers is the greatest common divisor
So, the GCD (370, 676, 968, 918) = 2.
Given numbers are 370, 676, 968, 918
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 370, 676, 968, 918 is 2.
Given numbers are 370, 676, 968, 918
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 676) = 125060
GCD(370, 676) = ( 370 x 676 ) / 125060
= 370 / 676
= 370
Step2:
LCM(2, 968) = 968
GCD(2, 968) = ( 2 x 968 ) / 968
= 2 / 968
= 2
Step3:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
So, Greatest Common Divisor of 370, 676, 968, 918 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 676, 968, 918
The greatest common divisor of numbers 370, 676, 968, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 676, 968, 918 is 2.
1. What is the GCD of 370, 676, 968, 918?
GCD of given numbers 370, 676, 968, 918 is 2
2. How to calculate the greatest common divisor of 370, 676, 968, 918?
We can find the highest common divisor of 370, 676, 968, 918 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 370, 676, 968, 918 i.e 2.
3. How can I use the GCD of 370, 676, 968, 918Calculator?
Out the numbers 370, 676, 968, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.