Online GCD Calculator is useful to find the GCD of 116, 736, 726, 207 quickly. Get the easiest ways to solve the greatest common divisor of 116, 736, 726, 207 i.e 1 in different methods as follows.
Given Input numbers are 116, 736, 726, 207
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
GCD of numbers is the greatest common divisor
So, the GCD (116, 736, 726, 207) = 1.
Given numbers are 116, 736, 726, 207
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 207 are 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 116, 736, 726, 207
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 736) = 21344
GCD(116, 736) = ( 116 x 736 ) / 21344
= 116 / 736
= 116
Step2:
LCM(4, 726) = 1452
GCD(4, 726) = ( 4 x 726 ) / 1452
= 4 / 726
= 4
Step3:
LCM(2, 207) = 414
GCD(2, 207) = ( 2 x 207 ) / 414
= 2 / 207
= 2
So, Greatest Common Divisor of 116, 736, 726, 207 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 116, 736, 726, 207
The greatest common divisor of numbers 116, 736, 726, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 736, 726, 207 is 1.
1. What is the GCD of 116, 736, 726, 207?
GCD of given numbers 116, 736, 726, 207 is 1
2. How to calculate the greatest common divisor of 116, 736, 726, 207?
We can find the highest common divisor of 116, 736, 726, 207 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 116, 736, 726, 207 i.e 1.
3. How can I use the GCD of 116, 736, 726, 207Calculator?
Out the numbers 116, 736, 726, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.