Online GCD Calculator is useful to find the GCD of 144, 854, 187, 678 quickly. Get the easiest ways to solve the greatest common divisor of 144, 854, 187, 678 i.e 1 in different methods as follows.
Given Input numbers are 144, 854, 187, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 187 :
The positive integer divisors of 187 that completely divides 187 are.
1, 11, 17, 187
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (144, 854, 187, 678) = 1.
Given numbers are 144, 854, 187, 678
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 854 are 2 x 7 x 61
Prime factors of 187 are 11 x 17
Prime factors of 678 are 2 x 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 144, 854, 187, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 854) = 61488
GCD(144, 854) = ( 144 x 854 ) / 61488
= 144 / 854
= 144
Step2:
LCM(2, 187) = 374
GCD(2, 187) = ( 2 x 187 ) / 374
= 2 / 187
= 2
Step3:
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
= 1 / 678
= 1
So, Greatest Common Divisor of 144, 854, 187, 678 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 854, 187, 678
The greatest common divisor of numbers 144, 854, 187, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 854, 187, 678 is 1.
1. What is the GCD of 144, 854, 187, 678?
GCD of given numbers 144, 854, 187, 678 is 1
2. How to calculate the greatest common divisor of 144, 854, 187, 678?
We can find the highest common divisor of 144, 854, 187, 678 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 144, 854, 187, 678 i.e 1.
3. How can I use the GCD of 144, 854, 187, 678Calculator?
Out the numbers 144, 854, 187, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.