Online GCD Calculator is useful to find the GCD of 820, 116, 760, 129 quickly. Get the easiest ways to solve the greatest common divisor of 820, 116, 760, 129 i.e 1 in different methods as follows.
Given Input numbers are 820, 116, 760, 129
In the factoring method, we have to find the divisors of all numbers
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
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 (820, 116, 760, 129) = 1.
Given numbers are 820, 116, 760, 129
The list of prime factors of all numbers are
Prime factors of 820 are 2 x 2 x 5 x 41
Prime factors of 116 are 2 x 2 x 29
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
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 820, 116, 760, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(820, 116) = 23780
GCD(820, 116) = ( 820 x 116 ) / 23780
= 820 / 116
= 820
Step2:
LCM(4, 760) = 760
GCD(4, 760) = ( 4 x 760 ) / 760
= 4 / 760
= 4
Step3:
LCM(4, 129) = 516
GCD(4, 129) = ( 4 x 129 ) / 516
= 4 / 129
= 4
So, Greatest Common Divisor of 820, 116, 760, 129 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 820, 116, 760, 129
The greatest common divisor of numbers 820, 116, 760, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 116, 760, 129 is 1.
1. What is the GCD of 820, 116, 760, 129?
GCD of given numbers 820, 116, 760, 129 is 1
2. How to calculate the greatest common divisor of 820, 116, 760, 129?
We can find the highest common divisor of 820, 116, 760, 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 820, 116, 760, 129 i.e 1.
3. How can I use the GCD of 820, 116, 760, 129Calculator?
Out the numbers 820, 116, 760, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.