Online GCD Calculator is useful to find the GCD of 106, 772, 862, 436 quickly. Get the easiest ways to solve the greatest common divisor of 106, 772, 862, 436 i.e 2 in different methods as follows.
Given Input numbers are 106, 772, 862, 436
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 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
GCD of numbers is the greatest common divisor
So, the GCD (106, 772, 862, 436) = 2.
Given numbers are 106, 772, 862, 436
The list of prime factors of all numbers are
Prime factors of 106 are 2 x 53
Prime factors of 772 are 2 x 2 x 193
Prime factors of 862 are 2 x 431
Prime factors of 436 are 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 106, 772, 862, 436 is 2.
Given numbers are 106, 772, 862, 436
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(106, 772) = 40916
GCD(106, 772) = ( 106 x 772 ) / 40916
= 106 / 772
= 106
Step2:
LCM(2, 862) = 862
GCD(2, 862) = ( 2 x 862 ) / 862
= 2 / 862
= 2
Step3:
LCM(2, 436) = 436
GCD(2, 436) = ( 2 x 436 ) / 436
= 2 / 436
= 2
So, Greatest Common Divisor of 106, 772, 862, 436 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 106, 772, 862, 436
The greatest common divisor of numbers 106, 772, 862, 436 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 772, 862, 436 is 2.
1. What is the GCD of 106, 772, 862, 436?
GCD of given numbers 106, 772, 862, 436 is 2
2. How to calculate the greatest common divisor of 106, 772, 862, 436?
We can find the highest common divisor of 106, 772, 862, 436 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, 772, 862, 436 i.e 2.
3. How can I use the GCD of 106, 772, 862, 436Calculator?
Out the numbers 106, 772, 862, 436 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.