Online GCD Calculator is useful to find the GCD of 129, 171, 130, 742 quickly. Get the easiest ways to solve the greatest common divisor of 129, 171, 130, 742 i.e 1 in different methods as follows.
Given Input numbers are 129, 171, 130, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 129 :
The positive integer divisors of 129 that completely divides 129 are.
1, 3, 43, 129
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (129, 171, 130, 742) = 1.
Given numbers are 129, 171, 130, 742
The list of prime factors of all numbers are
Prime factors of 129 are 3 x 43
Prime factors of 171 are 3 x 3 x 19
Prime factors of 130 are 2 x 5 x 13
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 129, 171, 130, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(129, 171) = 7353
GCD(129, 171) = ( 129 x 171 ) / 7353
= 129 / 171
= 129
Step2:
LCM(3, 130) = 390
GCD(3, 130) = ( 3 x 130 ) / 390
= 3 / 130
= 3
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 129, 171, 130, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 129, 171, 130, 742
The greatest common divisor of numbers 129, 171, 130, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 129, 171, 130, 742 is 1.
1. What is the GCD of 129, 171, 130, 742?
GCD of given numbers 129, 171, 130, 742 is 1
2. How to calculate the greatest common divisor of 129, 171, 130, 742?
We can find the highest common divisor of 129, 171, 130, 742 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 129, 171, 130, 742 i.e 1.
3. How can I use the GCD of 129, 171, 130, 742Calculator?
Out the numbers 129, 171, 130, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.