Online GCD Calculator is useful to find the GCD of 208, 377, 705, 129 quickly. Get the easiest ways to solve the greatest common divisor of 208, 377, 705, 129 i.e 1 in different methods as follows.
Given Input numbers are 208, 377, 705, 129
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 377 :
The positive integer divisors of 377 that completely divides 377 are.
1, 13, 29, 377
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
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 (208, 377, 705, 129) = 1.
Given numbers are 208, 377, 705, 129
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 377 are 13 x 29
Prime factors of 705 are 3 x 5 x 47
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 208, 377, 705, 129
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 377) = 6032
GCD(208, 377) = ( 208 x 377 ) / 6032
= 208 / 377
= 208
Step2:
LCM(13, 705) = 9165
GCD(13, 705) = ( 13 x 705 ) / 9165
= 13 / 705
= 13
Step3:
LCM(1, 129) = 129
GCD(1, 129) = ( 1 x 129 ) / 129
= 1 / 129
= 1
So, Greatest Common Divisor of 208, 377, 705, 129 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 377, 705, 129
The greatest common divisor of numbers 208, 377, 705, 129 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 377, 705, 129 is 1.
1. What is the GCD of 208, 377, 705, 129?
GCD of given numbers 208, 377, 705, 129 is 1
2. How to calculate the greatest common divisor of 208, 377, 705, 129?
We can find the highest common divisor of 208, 377, 705, 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 208, 377, 705, 129 i.e 1.
3. How can I use the GCD of 208, 377, 705, 129Calculator?
Out the numbers 208, 377, 705, 129 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.