Online GCD Calculator is useful to find the GCD of 366, 289, 140 quickly. Get the easiest ways to solve the greatest common divisor of 366, 289, 140 i.e 1 in different methods as follows.
Given Input numbers are 366, 289, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (366, 289, 140) = 1.
Given numbers are 366, 289, 140
The list of prime factors of all numbers are
Prime factors of 366 are 2 x 3 x 61
Prime factors of 289 are 17 x 17
Prime factors of 140 are 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 366, 289, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(366, 289) = 105774
GCD(366, 289) = ( 366 x 289 ) / 105774
= 366 / 289
= 366
Step2:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
So, Greatest Common Divisor of 366, 289, 140 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 366, 289, 140
The greatest common divisor of numbers 366, 289, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 366, 289, 140 is 1.
1. What is the GCD of 366, 289, 140?
GCD of given numbers 366, 289, 140 is 1
2. How to calculate the greatest common divisor of 366, 289, 140?
We can find the highest common divisor of 366, 289, 140 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 366, 289, 140 i.e 1.
3. How can I use the GCD of 366, 289, 140Calculator?
Out the numbers 366, 289, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.