Online GCD Calculator is useful to find the GCD of 106, 148, 748, 162 quickly. Get the easiest ways to solve the greatest common divisor of 106, 148, 748, 162 i.e 2 in different methods as follows.
Given Input numbers are 106, 148, 748, 162
In the factoring method, we have to find the divisors of all numbers
Divisors of 106 :
The positive integer divisors of 106 that completely divides 106 are.
1, 2, 53, 106
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
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 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD of numbers is the greatest common divisor
So, the GCD (106, 148, 748, 162) = 2.
Given numbers are 106, 148, 748, 162
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 148 are 2 x 2 x 37
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 106, 148, 748, 162 is 2.
Given numbers are 106, 148, 748, 162
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 148) = 7844
GCD(106, 148) = ( 106 x 148 ) / 7844
= 106 / 148
= 106
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
Step3:
LCM(2, 162) = 162
GCD(2, 162) = ( 2 x 162 ) / 162
= 2 / 162
= 2
So, Greatest Common Divisor of 106, 148, 748, 162 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 148, 748, 162
The greatest common divisor of numbers 106, 148, 748, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 148, 748, 162 is 2.
1. What is the GCD of 106, 148, 748, 162?
GCD of given numbers 106, 148, 748, 162 is 2
2. How to calculate the greatest common divisor of 106, 148, 748, 162?
We can find the highest common divisor of 106, 148, 748, 162 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 106, 148, 748, 162 i.e 2.
3. How can I use the GCD of 106, 148, 748, 162Calculator?
Out the numbers 106, 148, 748, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.