Online GCD Calculator is useful to find the GCD of 684, 137, 240, 249 quickly. Get the easiest ways to solve the greatest common divisor of 684, 137, 240, 249 i.e 1 in different methods as follows.
Given Input numbers are 684, 137, 240, 249
In the factoring method, we have to find the divisors of all numbers
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 249 :
The positive integer divisors of 249 that completely divides 249 are.
1, 3, 83, 249
GCD of numbers is the greatest common divisor
So, the GCD (684, 137, 240, 249) = 1.
Given numbers are 684, 137, 240, 249
The list of prime factors of all numbers are
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 137 are 137
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 249 are 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 137, 240, 249
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 137) = 93708
GCD(684, 137) = ( 684 x 137 ) / 93708
= 684 / 137
= 684
Step2:
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
= 1 / 240
= 1
Step3:
LCM(1, 249) = 249
GCD(1, 249) = ( 1 x 249 ) / 249
= 1 / 249
= 1
So, Greatest Common Divisor of 684, 137, 240, 249 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 137, 240, 249
The greatest common divisor of numbers 684, 137, 240, 249 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 137, 240, 249 is 1.
1. What is the GCD of 684, 137, 240, 249?
GCD of given numbers 684, 137, 240, 249 is 1
2. How to calculate the greatest common divisor of 684, 137, 240, 249?
We can find the highest common divisor of 684, 137, 240, 249 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 684, 137, 240, 249 i.e 1.
3. How can I use the GCD of 684, 137, 240, 249Calculator?
Out the numbers 684, 137, 240, 249 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.