Online GCD Calculator is useful to find the GCD of 168, 202, 748, 106 quickly. Get the easiest ways to solve the greatest common divisor of 168, 202, 748, 106 i.e 2 in different methods as follows.
Given Input numbers are 168, 202, 748, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
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
GCD of numbers is the greatest common divisor
So, the GCD (168, 202, 748, 106) = 2.
Given numbers are 168, 202, 748, 106
The list of prime factors of all numbers are
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 202 are 2 x 101
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 106 are 2 x 53
The highest common occurrence is 21
Therefore, GCD of 168, 202, 748, 106 is 2.
Given numbers are 168, 202, 748, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(168, 202) = 16968
GCD(168, 202) = ( 168 x 202 ) / 16968
= 168 / 202
= 168
Step2:
LCM(2, 748) = 748
GCD(2, 748) = ( 2 x 748 ) / 748
= 2 / 748
= 2
Step3:
LCM(2, 106) = 106
GCD(2, 106) = ( 2 x 106 ) / 106
= 2 / 106
= 2
So, Greatest Common Divisor of 168, 202, 748, 106 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 168, 202, 748, 106
The greatest common divisor of numbers 168, 202, 748, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 202, 748, 106 is 2.
1. What is the GCD of 168, 202, 748, 106?
GCD of given numbers 168, 202, 748, 106 is 2
2. How to calculate the greatest common divisor of 168, 202, 748, 106?
We can find the highest common divisor of 168, 202, 748, 106 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 168, 202, 748, 106 i.e 2.
3. How can I use the GCD of 168, 202, 748, 106Calculator?
Out the numbers 168, 202, 748, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.