Online GCD Calculator is useful to find the GCD of 726, 138, 340, 161 quickly. Get the easiest ways to solve the greatest common divisor of 726, 138, 340, 161 i.e 1 in different methods as follows.
Given Input numbers are 726, 138, 340, 161
In the factoring method, we have to find the divisors of all numbers
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 161 :
The positive integer divisors of 161 that completely divides 161 are.
1, 7, 23, 161
GCD of numbers is the greatest common divisor
So, the GCD (726, 138, 340, 161) = 1.
Given numbers are 726, 138, 340, 161
The list of prime factors of all numbers are
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 138 are 2 x 3 x 23
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 161 are 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 726, 138, 340, 161
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(726, 138) = 16698
GCD(726, 138) = ( 726 x 138 ) / 16698
= 726 / 138
= 726
Step2:
LCM(6, 340) = 1020
GCD(6, 340) = ( 6 x 340 ) / 1020
= 6 / 340
= 6
Step3:
LCM(2, 161) = 322
GCD(2, 161) = ( 2 x 161 ) / 322
= 2 / 161
= 2
So, Greatest Common Divisor of 726, 138, 340, 161 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 726, 138, 340, 161
The greatest common divisor of numbers 726, 138, 340, 161 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 138, 340, 161 is 1.
1. What is the GCD of 726, 138, 340, 161?
GCD of given numbers 726, 138, 340, 161 is 1
2. How to calculate the greatest common divisor of 726, 138, 340, 161?
We can find the highest common divisor of 726, 138, 340, 161 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 726, 138, 340, 161 i.e 1.
3. How can I use the GCD of 726, 138, 340, 161Calculator?
Out the numbers 726, 138, 340, 161 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.