Online GCD Calculator is useful to find the GCD of 642, 812, 109, 129 quickly. Get the easiest ways to solve the greatest common divisor of 642, 812, 109, 129 i.e 1 in different methods as follows.
Given Input numbers are 642, 812, 109, 129
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 812 :
The positive integer divisors of 812 that completely divides 812 are.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
GCD of numbers is the greatest common divisor
So, the GCD (642, 812, 109, 129) = 1.
Given numbers are 642, 812, 109, 129
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 812 are 2 x 2 x 7 x 29
Prime factors of 109 are 109
Prime factors of 129 are 3 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 642, 812, 109, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 812) = 260652
GCD(642, 812) = ( 642 x 812 ) / 260652
= 642 / 812
= 642
Step2:
LCM(2, 109) = 218
GCD(2, 109) = ( 2 x 109 ) / 218
= 2 / 109
= 2
Step3:
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
= 1 / 129
= 1
So, Greatest Common Divisor of 642, 812, 109, 129 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 812, 109, 129
The greatest common divisor of numbers 642, 812, 109, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 812, 109, 129 is 1.
1. What is the GCD of 642, 812, 109, 129?
GCD of given numbers 642, 812, 109, 129 is 1
2. How to calculate the greatest common divisor of 642, 812, 109, 129?
We can find the highest common divisor of 642, 812, 109, 129 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 642, 812, 109, 129 i.e 1.
3. How can I use the GCD of 642, 812, 109, 129Calculator?
Out the numbers 642, 812, 109, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.