Online GCD Calculator is useful to find the GCD of 428, 517, 542, 789 quickly. Get the easiest ways to solve the greatest common divisor of 428, 517, 542, 789 i.e 1 in different methods as follows.
Given Input numbers are 428, 517, 542, 789
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 517 :
The positive integer divisors of 517 that completely divides 517 are.
1, 11, 47, 517
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
GCD of numbers is the greatest common divisor
So, the GCD (428, 517, 542, 789) = 1.
Given numbers are 428, 517, 542, 789
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 517 are 11 x 47
Prime factors of 542 are 2 x 271
Prime factors of 789 are 3 x 263
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 517, 542, 789
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 517) = 221276
GCD(428, 517) = ( 428 x 517 ) / 221276
= 428 / 517
= 428
Step2:
LCM(1, 542) = 542
GCD(1, 542) = ( 1 x 542 ) / 542
= 1 / 542
= 1
Step3:
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
= 1 / 789
= 1
So, Greatest Common Divisor of 428, 517, 542, 789 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 517, 542, 789
The greatest common divisor of numbers 428, 517, 542, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 517, 542, 789 is 1.
1. What is the GCD of 428, 517, 542, 789?
GCD of given numbers 428, 517, 542, 789 is 1
2. How to calculate the greatest common divisor of 428, 517, 542, 789?
We can find the highest common divisor of 428, 517, 542, 789 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, 517, 542, 789 i.e 1.
3. How can I use the GCD of 428, 517, 542, 789Calculator?
Out the numbers 428, 517, 542, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.