Online GCD Calculator is useful to find the GCD of 322, 220, 756, 106 quickly. Get the easiest ways to solve the greatest common divisor of 322, 220, 756, 106 i.e 2 in different methods as follows.
Given Input numbers are 322, 220, 756, 106
In the factoring method, we have to find the divisors of all numbers
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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 (322, 220, 756, 106) = 2.
Given numbers are 322, 220, 756, 106
The list of prime factors of all numbers are
Prime factors of 322 are 2 x 7 x 23
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 106 are 2 x 53
The highest common occurrence is 21
Therefore, GCD of 322, 220, 756, 106 is 2.
Given numbers are 322, 220, 756, 106
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(322, 220) = 35420
GCD(322, 220) = ( 322 x 220 ) / 35420
= 322 / 220
= 322
Step2:
LCM(2, 756) = 756
GCD(2, 756) = ( 2 x 756 ) / 756
= 2 / 756
= 2
Step3:
LCM(2, 106) = 106
GCD(2, 106) = ( 2 x 106 ) / 106
= 2 / 106
= 2
So, Greatest Common Divisor of 322, 220, 756, 106 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 322, 220, 756, 106
The greatest common divisor of numbers 322, 220, 756, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 220, 756, 106 is 2.
1. What is the GCD of 322, 220, 756, 106?
GCD of given numbers 322, 220, 756, 106 is 2
2. How to calculate the greatest common divisor of 322, 220, 756, 106?
We can find the highest common divisor of 322, 220, 756, 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 322, 220, 756, 106 i.e 2.
3. How can I use the GCD of 322, 220, 756, 106Calculator?
Out the numbers 322, 220, 756, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.