Online GCD Calculator is useful to find the GCD of 536, 940, 106, 318 quickly. Get the easiest ways to solve the greatest common divisor of 536, 940, 106, 318 i.e 2 in different methods as follows.
Given Input numbers are 536, 940, 106, 318
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
GCD of numbers is the greatest common divisor
So, the GCD (536, 940, 106, 318) = 2.
Given numbers are 536, 940, 106, 318
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 106 are 2 x 53
Prime factors of 318 are 2 x 3 x 53
The highest common occurrence is 21
Therefore, GCD of 536, 940, 106, 318 is 2.
Given numbers are 536, 940, 106, 318
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 940) = 125960
GCD(536, 940) = ( 536 x 940 ) / 125960
= 536 / 940
= 536
Step2:
LCM(4, 106) = 212
GCD(4, 106) = ( 4 x 106 ) / 212
= 4 / 106
= 4
Step3:
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
= 2 / 318
= 2
So, Greatest Common Divisor of 536, 940, 106, 318 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 940, 106, 318
The greatest common divisor of numbers 536, 940, 106, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 940, 106, 318 is 2.
1. What is the GCD of 536, 940, 106, 318?
GCD of given numbers 536, 940, 106, 318 is 2
2. How to calculate the greatest common divisor of 536, 940, 106, 318?
We can find the highest common divisor of 536, 940, 106, 318 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 536, 940, 106, 318 i.e 2.
3. How can I use the GCD of 536, 940, 106, 318Calculator?
Out the numbers 536, 940, 106, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.