Online GCD Calculator is useful to find the GCD of 428, 322, 519, 357 quickly. Get the easiest ways to solve the greatest common divisor of 428, 322, 519, 357 i.e 1 in different methods as follows.
Given Input numbers are 428, 322, 519, 357
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 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 519 :
The positive integer divisors of 519 that completely divides 519 are.
1, 3, 173, 519
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (428, 322, 519, 357) = 1.
Given numbers are 428, 322, 519, 357
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 322 are 2 x 7 x 23
Prime factors of 519 are 3 x 173
Prime factors of 357 are 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 322, 519, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 322) = 68908
GCD(428, 322) = ( 428 x 322 ) / 68908
= 428 / 322
= 428
Step2:
LCM(2, 519) = 1038
GCD(2, 519) = ( 2 x 519 ) / 1038
= 2 / 519
= 2
Step3:
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
= 1 / 357
= 1
So, Greatest Common Divisor of 428, 322, 519, 357 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 322, 519, 357
The greatest common divisor of numbers 428, 322, 519, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 322, 519, 357 is 1.
1. What is the GCD of 428, 322, 519, 357?
GCD of given numbers 428, 322, 519, 357 is 1
2. How to calculate the greatest common divisor of 428, 322, 519, 357?
We can find the highest common divisor of 428, 322, 519, 357 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, 322, 519, 357 i.e 1.
3. How can I use the GCD of 428, 322, 519, 357Calculator?
Out the numbers 428, 322, 519, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.