Online GCD Calculator is useful to find the GCD of 772, 748, 830, 390 quickly. Get the easiest ways to solve the greatest common divisor of 772, 748, 830, 390 i.e 2 in different methods as follows.
Given Input numbers are 772, 748, 830, 390
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
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 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 390 :
The positive integer divisors of 390 that completely divides 390 are.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
GCD of numbers is the greatest common divisor
So, the GCD (772, 748, 830, 390) = 2.
Given numbers are 772, 748, 830, 390
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 830 are 2 x 5 x 83
Prime factors of 390 are 2 x 3 x 5 x 13
The highest common occurrence is 21
Therefore, GCD of 772, 748, 830, 390 is 2.
Given numbers are 772, 748, 830, 390
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 748) = 144364
GCD(772, 748) = ( 772 x 748 ) / 144364
= 772 / 748
= 772
Step2:
LCM(4, 830) = 1660
GCD(4, 830) = ( 4 x 830 ) / 1660
= 4 / 830
= 4
Step3:
LCM(2, 390) = 390
GCD(2, 390) = ( 2 x 390 ) / 390
= 2 / 390
= 2
So, Greatest Common Divisor of 772, 748, 830, 390 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 748, 830, 390
The greatest common divisor of numbers 772, 748, 830, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 748, 830, 390 is 2.
1. What is the GCD of 772, 748, 830, 390?
GCD of given numbers 772, 748, 830, 390 is 2
2. How to calculate the greatest common divisor of 772, 748, 830, 390?
We can find the highest common divisor of 772, 748, 830, 390 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 772, 748, 830, 390 i.e 2.
3. How can I use the GCD of 772, 748, 830, 390Calculator?
Out the numbers 772, 748, 830, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.