Online GCD Calculator is useful to find the GCD of 748, 790, 212, 928 quickly. Get the easiest ways to solve the greatest common divisor of 748, 790, 212, 928 i.e 2 in different methods as follows.
Given Input numbers are 748, 790, 212, 928
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 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
GCD of numbers is the greatest common divisor
So, the GCD (748, 790, 212, 928) = 2.
Given numbers are 748, 790, 212, 928
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 790 are 2 x 5 x 79
Prime factors of 212 are 2 x 2 x 53
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 748, 790, 212, 928 is 2.
Given numbers are 748, 790, 212, 928
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 790) = 295460
GCD(748, 790) = ( 748 x 790 ) / 295460
= 748 / 790
= 748
Step2:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
Step3:
LCM(2, 928) = 928
GCD(2, 928) = ( 2 x 928 ) / 928
= 2 / 928
= 2
So, Greatest Common Divisor of 748, 790, 212, 928 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 790, 212, 928
The greatest common divisor of numbers 748, 790, 212, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 790, 212, 928 is 2.
1. What is the GCD of 748, 790, 212, 928?
GCD of given numbers 748, 790, 212, 928 is 2
2. How to calculate the greatest common divisor of 748, 790, 212, 928?
We can find the highest common divisor of 748, 790, 212, 928 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, 790, 212, 928 i.e 2.
3. How can I use the GCD of 748, 790, 212, 928Calculator?
Out the numbers 748, 790, 212, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.