Online GCD Calculator is useful to find the GCD of 350, 470, 105, 129 quickly. Get the easiest ways to solve the greatest common divisor of 350, 470, 105, 129 i.e 1 in different methods as follows.
Given Input numbers are 350, 470, 105, 129
In the factoring method, we have to find the divisors of all numbers
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
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 (350, 470, 105, 129) = 1.
Given numbers are 350, 470, 105, 129
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 470 are 2 x 5 x 47
Prime factors of 105 are 3 x 5 x 7
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 350, 470, 105, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 470) = 16450
GCD(350, 470) = ( 350 x 470 ) / 16450
= 350 / 470
= 350
Step2:
LCM(10, 105) = 210
GCD(10, 105) = ( 10 x 105 ) / 210
= 10 / 105
= 10
Step3:
LCM(5, 129) = 645
GCD(5, 129) = ( 5 x 129 ) / 645
= 5 / 129
= 5
So, Greatest Common Divisor of 350, 470, 105, 129 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 470, 105, 129
The greatest common divisor of numbers 350, 470, 105, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 470, 105, 129 is 1.
1. What is the GCD of 350, 470, 105, 129?
GCD of given numbers 350, 470, 105, 129 is 1
2. How to calculate the greatest common divisor of 350, 470, 105, 129?
We can find the highest common divisor of 350, 470, 105, 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 350, 470, 105, 129 i.e 1.
3. How can I use the GCD of 350, 470, 105, 129Calculator?
Out the numbers 350, 470, 105, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.