Online GCD Calculator is useful to find the GCD of 461, 126, 138 quickly. Get the easiest ways to solve the greatest common divisor of 461, 126, 138 i.e 1 in different methods as follows.
Given Input numbers are 461, 126, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 461 :
The positive integer divisors of 461 that completely divides 461 are.
1, 461
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
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (461, 126, 138) = 1.
Given numbers are 461, 126, 138
The list of prime factors of all numbers are
Prime factors of 461 are 461
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 461, 126, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(461, 126) = 58086
GCD(461, 126) = ( 461 x 126 ) / 58086
= 461 / 126
= 461
Step2:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 461, 126, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 461, 126, 138
The greatest common divisor of numbers 461, 126, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 461, 126, 138 is 1.
1. What is the GCD of 461, 126, 138?
GCD of given numbers 461, 126, 138 is 1
2. How to calculate the greatest common divisor of 461, 126, 138?
We can find the highest common divisor of 461, 126, 138 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 461, 126, 138 i.e 1.
3. How can I use the GCD of 461, 126, 138Calculator?
Out the numbers 461, 126, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.