Online GCD Calculator is useful to find the GCD of 114, 381, 756, 654 quickly. Get the easiest ways to solve the greatest common divisor of 114, 381, 756, 654 i.e 3 in different methods as follows.
Given Input numbers are 114, 381, 756, 654
In the factoring method, we have to find the divisors of all numbers
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
GCD of numbers is the greatest common divisor
So, the GCD (114, 381, 756, 654) = 3.
Given numbers are 114, 381, 756, 654
The list of prime factors of all numbers are
Prime factors of 114 are 2 x 3 x 19
Prime factors of 381 are 3 x 127
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 654 are 2 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 114, 381, 756, 654 is 3.
Given numbers are 114, 381, 756, 654
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(114, 381) = 14478
GCD(114, 381) = ( 114 x 381 ) / 14478
= 114 / 381
= 114
Step2:
LCM(3, 756) = 756
GCD(3, 756) = ( 3 x 756 ) / 756
= 3 / 756
= 3
Step3:
LCM(3, 654) = 654
GCD(3, 654) = ( 3 x 654 ) / 654
= 3 / 654
= 3
So, Greatest Common Divisor of 114, 381, 756, 654 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 114, 381, 756, 654
The greatest common divisor of numbers 114, 381, 756, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 381, 756, 654 is 3.
1. What is the GCD of 114, 381, 756, 654?
GCD of given numbers 114, 381, 756, 654 is 3
2. How to calculate the greatest common divisor of 114, 381, 756, 654?
We can find the highest common divisor of 114, 381, 756, 654 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 114, 381, 756, 654 i.e 3.
3. How can I use the GCD of 114, 381, 756, 654Calculator?
Out the numbers 114, 381, 756, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.