Online GCD Calculator is useful to find the GCD of 106, 790, 648, 964 quickly. Get the easiest ways to solve the greatest common divisor of 106, 790, 648, 964 i.e 2 in different methods as follows.
Given Input numbers are 106, 790, 648, 964
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 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
GCD of numbers is the greatest common divisor
So, the GCD (106, 790, 648, 964) = 2.
Given numbers are 106, 790, 648, 964
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 790 are 2 x 5 x 79
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 964 are 2 x 2 x 241
The highest common occurrence is 21
Therefore, GCD of 106, 790, 648, 964 is 2.
Given numbers are 106, 790, 648, 964
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 790) = 41870
GCD(106, 790) = ( 106 x 790 ) / 41870
= 106 / 790
= 106
Step2:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
Step3:
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
= 2 / 964
= 2
So, Greatest Common Divisor of 106, 790, 648, 964 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 790, 648, 964
The greatest common divisor of numbers 106, 790, 648, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 790, 648, 964 is 2.
1. What is the GCD of 106, 790, 648, 964?
GCD of given numbers 106, 790, 648, 964 is 2
2. How to calculate the greatest common divisor of 106, 790, 648, 964?
We can find the highest common divisor of 106, 790, 648, 964 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, 790, 648, 964 i.e 2.
3. How can I use the GCD of 106, 790, 648, 964Calculator?
Out the numbers 106, 790, 648, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.