Online GCD Calculator is useful to find the GCD of 338, 918, 692 quickly. Get the easiest ways to solve the greatest common divisor of 338, 918, 692 i.e 2 in different methods as follows.
Given Input numbers are 338, 918, 692
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
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 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
GCD of numbers is the greatest common divisor
So, the GCD (338, 918, 692) = 2.
Given numbers are 338, 918, 692
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 692 are 2 x 2 x 173
The highest common occurrence is 21
Therefore, GCD of 338, 918, 692 is 2.
Given numbers are 338, 918, 692
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 918) = 155142
GCD(338, 918) = ( 338 x 918 ) / 155142
= 338 / 918
= 338
Step2:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
So, Greatest Common Divisor of 338, 918, 692 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 918, 692
The greatest common divisor of numbers 338, 918, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 918, 692 is 2.
1. What is the GCD of 338, 918, 692?
GCD of given numbers 338, 918, 692 is 2
2. How to calculate the greatest common divisor of 338, 918, 692?
We can find the highest common divisor of 338, 918, 692 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 338, 918, 692 i.e 2.
3. How can I use the GCD of 338, 918, 692Calculator?
Out the numbers 338, 918, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.