Online GCD Calculator is useful to find the GCD of 575, 322, 428, 429 quickly. Get the easiest ways to solve the greatest common divisor of 575, 322, 428, 429 i.e 1 in different methods as follows.
Given Input numbers are 575, 322, 428, 429
In the factoring method, we have to find the divisors of all numbers
Divisors of 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
GCD of numbers is the greatest common divisor
So, the GCD (575, 322, 428, 429) = 1.
Given numbers are 575, 322, 428, 429
The list of prime factors of all numbers are
Prime factors of 575 are 5 x 5 x 23
Prime factors of 322 are 2 x 7 x 23
Prime factors of 428 are 2 x 2 x 107
Prime factors of 429 are 3 x 11 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 575, 322, 428, 429
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(575, 322) = 8050
GCD(575, 322) = ( 575 x 322 ) / 8050
= 575 / 322
= 575
Step2:
LCM(23, 428) = 9844
GCD(23, 428) = ( 23 x 428 ) / 9844
= 23 / 428
= 23
Step3:
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
= 1 / 429
= 1
So, Greatest Common Divisor of 575, 322, 428, 429 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 575, 322, 428, 429
The greatest common divisor of numbers 575, 322, 428, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 575, 322, 428, 429 is 1.
1. What is the GCD of 575, 322, 428, 429?
GCD of given numbers 575, 322, 428, 429 is 1
2. How to calculate the greatest common divisor of 575, 322, 428, 429?
We can find the highest common divisor of 575, 322, 428, 429 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 575, 322, 428, 429 i.e 1.
3. How can I use the GCD of 575, 322, 428, 429Calculator?
Out the numbers 575, 322, 428, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.