Online GCD Calculator is useful to find the GCD of 705, 914, 150, 129 quickly. Get the easiest ways to solve the greatest common divisor of 705, 914, 150, 129 i.e 1 in different methods as follows.
Given Input numbers are 705, 914, 150, 129
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
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 (705, 914, 150, 129) = 1.
Given numbers are 705, 914, 150, 129
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 914 are 2 x 457
Prime factors of 150 are 2 x 3 x 5 x 5
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 705, 914, 150, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 914) = 644370
GCD(705, 914) = ( 705 x 914 ) / 644370
= 705 / 914
= 705
Step2:
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
= 1 / 150
= 1
Step3:
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
= 1 / 129
= 1
So, Greatest Common Divisor of 705, 914, 150, 129 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 914, 150, 129
The greatest common divisor of numbers 705, 914, 150, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 914, 150, 129 is 1.
1. What is the GCD of 705, 914, 150, 129?
GCD of given numbers 705, 914, 150, 129 is 1
2. How to calculate the greatest common divisor of 705, 914, 150, 129?
We can find the highest common divisor of 705, 914, 150, 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 705, 914, 150, 129 i.e 1.
3. How can I use the GCD of 705, 914, 150, 129Calculator?
Out the numbers 705, 914, 150, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.