Online GCD Calculator is useful to find the GCD of 334, 684, 918, 436 quickly. Get the easiest ways to solve the greatest common divisor of 334, 684, 918, 436 i.e 2 in different methods as follows.
Given Input numbers are 334, 684, 918, 436
In the factoring method, we have to find the divisors of all numbers
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
GCD of numbers is the greatest common divisor
So, the GCD (334, 684, 918, 436) = 2.
Given numbers are 334, 684, 918, 436
The list of prime factors of all numbers are
Prime factors of 334 are 2 x 167
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 436 are 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 334, 684, 918, 436 is 2.
Given numbers are 334, 684, 918, 436
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(334, 684) = 114228
GCD(334, 684) = ( 334 x 684 ) / 114228
= 334 / 684
= 334
Step2:
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
= 2 / 918
= 2
Step3:
LCM(2, 436) = 436
GCD(2, 436) = ( 2 x 436 ) / 436
= 2 / 436
= 2
So, Greatest Common Divisor of 334, 684, 918, 436 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 334, 684, 918, 436
The greatest common divisor of numbers 334, 684, 918, 436 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 684, 918, 436 is 2.
1. What is the GCD of 334, 684, 918, 436?
GCD of given numbers 334, 684, 918, 436 is 2
2. How to calculate the greatest common divisor of 334, 684, 918, 436?
We can find the highest common divisor of 334, 684, 918, 436 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 334, 684, 918, 436 i.e 2.
3. How can I use the GCD of 334, 684, 918, 436Calculator?
Out the numbers 334, 684, 918, 436 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.