Online GCD Calculator is useful to find the GCD of 134, 513, 114, 126 quickly. Get the easiest ways to solve the greatest common divisor of 134, 513, 114, 126 i.e 1 in different methods as follows.
Given Input numbers are 134, 513, 114, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (134, 513, 114, 126) = 1.
Given numbers are 134, 513, 114, 126
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 114 are 2 x 3 x 19
Prime factors of 126 are 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 134, 513, 114, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 513) = 68742
GCD(134, 513) = ( 134 x 513 ) / 68742
= 134 / 513
= 134
Step2:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
Step3:
LCM(1, 126) = 126
GCD(1, 126) = ( 1 x 126 ) / 126
= 1 / 126
= 1
So, Greatest Common Divisor of 134, 513, 114, 126 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 134, 513, 114, 126
The greatest common divisor of numbers 134, 513, 114, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 513, 114, 126 is 1.
1. What is the GCD of 134, 513, 114, 126?
GCD of given numbers 134, 513, 114, 126 is 1
2. How to calculate the greatest common divisor of 134, 513, 114, 126?
We can find the highest common divisor of 134, 513, 114, 126 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 134, 513, 114, 126 i.e 1.
3. How can I use the GCD of 134, 513, 114, 126Calculator?
Out the numbers 134, 513, 114, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.