Online GCD Calculator is useful to find the GCD of 428, 155, 123, 684 quickly. Get the easiest ways to solve the greatest common divisor of 428, 155, 123, 684 i.e 1 in different methods as follows.
Given Input numbers are 428, 155, 123, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 155 :
The positive integer divisors of 155 that completely divides 155 are.
1, 5, 31, 155
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
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
GCD of numbers is the greatest common divisor
So, the GCD (428, 155, 123, 684) = 1.
Given numbers are 428, 155, 123, 684
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 155 are 5 x 31
Prime factors of 123 are 3 x 41
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 155, 123, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 155) = 66340
GCD(428, 155) = ( 428 x 155 ) / 66340
= 428 / 155
= 428
Step2:
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
= 1 / 123
= 1
Step3:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
So, Greatest Common Divisor of 428, 155, 123, 684 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 155, 123, 684
The greatest common divisor of numbers 428, 155, 123, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 155, 123, 684 is 1.
1. What is the GCD of 428, 155, 123, 684?
GCD of given numbers 428, 155, 123, 684 is 1
2. How to calculate the greatest common divisor of 428, 155, 123, 684?
We can find the highest common divisor of 428, 155, 123, 684 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 428, 155, 123, 684 i.e 1.
3. How can I use the GCD of 428, 155, 123, 684Calculator?
Out the numbers 428, 155, 123, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.