Online GCD Calculator is useful to find the GCD of 339, 829, 770, 112 quickly. Get the easiest ways to solve the greatest common divisor of 339, 829, 770, 112 i.e 1 in different methods as follows.
Given Input numbers are 339, 829, 770, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 339 :
The positive integer divisors of 339 that completely divides 339 are.
1, 3, 113, 339
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (339, 829, 770, 112) = 1.
Given numbers are 339, 829, 770, 112
The list of prime factors of all numbers are
Prime factors of 339 are 3 x 113
Prime factors of 829 are 829
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 339, 829, 770, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(339, 829) = 281031
GCD(339, 829) = ( 339 x 829 ) / 281031
= 339 / 829
= 339
Step2:
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
= 1 / 770
= 1
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 339, 829, 770, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 339, 829, 770, 112
The greatest common divisor of numbers 339, 829, 770, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 829, 770, 112 is 1.
1. What is the GCD of 339, 829, 770, 112?
GCD of given numbers 339, 829, 770, 112 is 1
2. How to calculate the greatest common divisor of 339, 829, 770, 112?
We can find the highest common divisor of 339, 829, 770, 112 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 339, 829, 770, 112 i.e 1.
3. How can I use the GCD of 339, 829, 770, 112Calculator?
Out the numbers 339, 829, 770, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.