Online GCD Calculator is useful to find the GCD of 428, 361, 684, 254 quickly. Get the easiest ways to solve the greatest common divisor of 428, 361, 684, 254 i.e 1 in different methods as follows.
Given Input numbers are 428, 361, 684, 254
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 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
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 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
GCD of numbers is the greatest common divisor
So, the GCD (428, 361, 684, 254) = 1.
Given numbers are 428, 361, 684, 254
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 361 are 19 x 19
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 254 are 2 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 361, 684, 254
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 361) = 154508
GCD(428, 361) = ( 428 x 361 ) / 154508
= 428 / 361
= 428
Step2:
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
= 1 / 684
= 1
Step3:
LCM(1, 254) = 254
GCD(1, 254) = ( 1 x 254 ) / 254
= 1 / 254
= 1
So, Greatest Common Divisor of 428, 361, 684, 254 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 361, 684, 254
The greatest common divisor of numbers 428, 361, 684, 254 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 361, 684, 254 is 1.
1. What is the GCD of 428, 361, 684, 254?
GCD of given numbers 428, 361, 684, 254 is 1
2. How to calculate the greatest common divisor of 428, 361, 684, 254?
We can find the highest common divisor of 428, 361, 684, 254 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, 361, 684, 254 i.e 1.
3. How can I use the GCD of 428, 361, 684, 254Calculator?
Out the numbers 428, 361, 684, 254 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.