Online GCD Calculator is useful to find the GCD of 828, 614, 731, 504 quickly. Get the easiest ways to solve the greatest common divisor of 828, 614, 731, 504 i.e 1 in different methods as follows.
Given Input numbers are 828, 614, 731, 504
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 731 :
The positive integer divisors of 731 that completely divides 731 are.
1, 17, 43, 731
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
GCD of numbers is the greatest common divisor
So, the GCD (828, 614, 731, 504) = 1.
Given numbers are 828, 614, 731, 504
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 614 are 2 x 307
Prime factors of 731 are 17 x 43
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 828, 614, 731, 504
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 614) = 254196
GCD(828, 614) = ( 828 x 614 ) / 254196
= 828 / 614
= 828
Step2:
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
= 2 / 731
= 2
Step3:
LCM(1, 504) = 504
GCD(1, 504) = ( 1 x 504 ) / 504
= 1 / 504
= 1
So, Greatest Common Divisor of 828, 614, 731, 504 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 828, 614, 731, 504
The greatest common divisor of numbers 828, 614, 731, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 614, 731, 504 is 1.
1. What is the GCD of 828, 614, 731, 504?
GCD of given numbers 828, 614, 731, 504 is 1
2. How to calculate the greatest common divisor of 828, 614, 731, 504?
We can find the highest common divisor of 828, 614, 731, 504 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 828, 614, 731, 504 i.e 1.
3. How can I use the GCD of 828, 614, 731, 504Calculator?
Out the numbers 828, 614, 731, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.