Online GCD Calculator is useful to find the GCD of 538, 724, 990, 857 quickly. Get the easiest ways to solve the greatest common divisor of 538, 724, 990, 857 i.e 1 in different methods as follows.
Given Input numbers are 538, 724, 990, 857
In the factoring method, we have to find the divisors of all numbers
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 857 :
The positive integer divisors of 857 that completely divides 857 are.
1, 857
GCD of numbers is the greatest common divisor
So, the GCD (538, 724, 990, 857) = 1.
Given numbers are 538, 724, 990, 857
The list of prime factors of all numbers are
Prime factors of 538 are 2 x 269
Prime factors of 724 are 2 x 2 x 181
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 857 are 857
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 538, 724, 990, 857
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(538, 724) = 194756
GCD(538, 724) = ( 538 x 724 ) / 194756
= 538 / 724
= 538
Step2:
LCM(2, 990) = 990
GCD(2, 990) = ( 2 x 990 ) / 990
= 2 / 990
= 2
Step3:
LCM(2, 857) = 1714
GCD(2, 857) = ( 2 x 857 ) / 1714
= 2 / 857
= 2
So, Greatest Common Divisor of 538, 724, 990, 857 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 538, 724, 990, 857
The greatest common divisor of numbers 538, 724, 990, 857 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 724, 990, 857 is 1.
1. What is the GCD of 538, 724, 990, 857?
GCD of given numbers 538, 724, 990, 857 is 1
2. How to calculate the greatest common divisor of 538, 724, 990, 857?
We can find the highest common divisor of 538, 724, 990, 857 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 538, 724, 990, 857 i.e 1.
3. How can I use the GCD of 538, 724, 990, 857Calculator?
Out the numbers 538, 724, 990, 857 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.