Online GCD Calculator is useful to find the GCD of 746, 249, 360 quickly. Get the easiest ways to solve the greatest common divisor of 746, 249, 360 i.e 1 in different methods as follows.
Given Input numbers are 746, 249, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (746, 249, 360) = 1.
Given numbers are 746, 249, 360
The list of prime factors of all numbers are
Prime factors of 746 are 2 x 373
Prime factors of 249 are 3 x 83
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 746, 249, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(746, 249) = 185754
GCD(746, 249) = ( 746 x 249 ) / 185754
= 746 / 249
= 746
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
So, Greatest Common Divisor of 746, 249, 360 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 746, 249, 360
The greatest common divisor of numbers 746, 249, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 249, 360 is 1.
1. What is the GCD of 746, 249, 360?
GCD of given numbers 746, 249, 360 is 1
2. How to calculate the greatest common divisor of 746, 249, 360?
We can find the highest common divisor of 746, 249, 360 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 746, 249, 360 i.e 1.
3. How can I use the GCD of 746, 249, 360Calculator?
Out the numbers 746, 249, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.