Online GCD Calculator is useful to find the GCD of 612, 748, 106, 338 quickly. Get the easiest ways to solve the greatest common divisor of 612, 748, 106, 338 i.e 2 in different methods as follows.
Given Input numbers are 612, 748, 106, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (612, 748, 106, 338) = 2.
Given numbers are 612, 748, 106, 338
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 106 are 2 x 53
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 612, 748, 106, 338 is 2.
Given numbers are 612, 748, 106, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 748) = 6732
GCD(612, 748) = ( 612 x 748 ) / 6732
= 612 / 748
= 612
Step2:
LCM(68, 106) = 3604
GCD(68, 106) = ( 68 x 106 ) / 3604
= 68 / 106
= 68
Step3:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 612, 748, 106, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 748, 106, 338
The greatest common divisor of numbers 612, 748, 106, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 748, 106, 338 is 2.
1. What is the GCD of 612, 748, 106, 338?
GCD of given numbers 612, 748, 106, 338 is 2
2. How to calculate the greatest common divisor of 612, 748, 106, 338?
We can find the highest common divisor of 612, 748, 106, 338 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 612, 748, 106, 338 i.e 2.
3. How can I use the GCD of 612, 748, 106, 338Calculator?
Out the numbers 612, 748, 106, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.