Online GCD Calculator is useful to find the GCD of 748, 222, 166, 104 quickly. Get the easiest ways to solve the greatest common divisor of 748, 222, 166, 104 i.e 2 in different methods as follows.
Given Input numbers are 748, 222, 166, 104
In the factoring method, we have to find the divisors of all numbers
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 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
GCD of numbers is the greatest common divisor
So, the GCD (748, 222, 166, 104) = 2.
Given numbers are 748, 222, 166, 104
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 222 are 2 x 3 x 37
Prime factors of 166 are 2 x 83
Prime factors of 104 are 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 748, 222, 166, 104 is 2.
Given numbers are 748, 222, 166, 104
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 222) = 83028
GCD(748, 222) = ( 748 x 222 ) / 83028
= 748 / 222
= 748
Step2:
LCM(2, 166) = 166
GCD(2, 166) = ( 2 x 166 ) / 166
= 2 / 166
= 2
Step3:
LCM(2, 104) = 104
GCD(2, 104) = ( 2 x 104 ) / 104
= 2 / 104
= 2
So, Greatest Common Divisor of 748, 222, 166, 104 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 222, 166, 104
The greatest common divisor of numbers 748, 222, 166, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 222, 166, 104 is 2.
1. What is the GCD of 748, 222, 166, 104?
GCD of given numbers 748, 222, 166, 104 is 2
2. How to calculate the greatest common divisor of 748, 222, 166, 104?
We can find the highest common divisor of 748, 222, 166, 104 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 748, 222, 166, 104 i.e 2.
3. How can I use the GCD of 748, 222, 166, 104Calculator?
Out the numbers 748, 222, 166, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.