Online GCD Calculator is useful to find the GCD of 684, 149, 377, 412 quickly. Get the easiest ways to solve the greatest common divisor of 684, 149, 377, 412 i.e 1 in different methods as follows.
Given Input numbers are 684, 149, 377, 412
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 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 377 :
The positive integer divisors of 377 that completely divides 377 are.
1, 13, 29, 377
Divisors of 412 :
The positive integer divisors of 412 that completely divides 412 are.
1, 2, 4, 103, 206, 412
GCD of numbers is the greatest common divisor
So, the GCD (684, 149, 377, 412) = 1.
Given numbers are 684, 149, 377, 412
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 149 are 149
Prime factors of 377 are 13 x 29
Prime factors of 412 are 2 x 2 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 684, 149, 377, 412
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(684, 149) = 101916
GCD(684, 149) = ( 684 x 149 ) / 101916
= 684 / 149
= 684
Step2:
LCM(1, 377) = 377
GCD(1, 377) = ( 1 x 377 ) / 377
= 1 / 377
= 1
Step3:
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
= 1 / 412
= 1
So, Greatest Common Divisor of 684, 149, 377, 412 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 684, 149, 377, 412
The greatest common divisor of numbers 684, 149, 377, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 684, 149, 377, 412 is 1.
1. What is the GCD of 684, 149, 377, 412?
GCD of given numbers 684, 149, 377, 412 is 1
2. How to calculate the greatest common divisor of 684, 149, 377, 412?
We can find the highest common divisor of 684, 149, 377, 412 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, 149, 377, 412 i.e 1.
3. How can I use the GCD of 684, 149, 377, 412Calculator?
Out the numbers 684, 149, 377, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.