Online GCD Calculator is useful to find the GCD of 513, 209, 742, 825 quickly. Get the easiest ways to solve the greatest common divisor of 513, 209, 742, 825 i.e 1 in different methods as follows.
Given Input numbers are 513, 209, 742, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (513, 209, 742, 825) = 1.
Given numbers are 513, 209, 742, 825
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 209 are 11 x 19
Prime factors of 742 are 2 x 7 x 53
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 209, 742, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 209) = 5643
GCD(513, 209) = ( 513 x 209 ) / 5643
= 513 / 209
= 513
Step2:
LCM(19, 742) = 14098
GCD(19, 742) = ( 19 x 742 ) / 14098
= 19 / 742
= 19
Step3:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
So, Greatest Common Divisor of 513, 209, 742, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 209, 742, 825
The greatest common divisor of numbers 513, 209, 742, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 209, 742, 825 is 1.
1. What is the GCD of 513, 209, 742, 825?
GCD of given numbers 513, 209, 742, 825 is 1
2. How to calculate the greatest common divisor of 513, 209, 742, 825?
We can find the highest common divisor of 513, 209, 742, 825 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 513, 209, 742, 825 i.e 1.
3. How can I use the GCD of 513, 209, 742, 825Calculator?
Out the numbers 513, 209, 742, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.