Online GCD Calculator is useful to find the GCD of 513, 909, 121, 708 quickly. Get the easiest ways to solve the greatest common divisor of 513, 909, 121, 708 i.e 1 in different methods as follows.
Given Input numbers are 513, 909, 121, 708
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 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (513, 909, 121, 708) = 1.
Given numbers are 513, 909, 121, 708
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 909 are 3 x 3 x 101
Prime factors of 121 are 11 x 11
Prime factors of 708 are 2 x 2 x 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 909, 121, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 909) = 51813
GCD(513, 909) = ( 513 x 909 ) / 51813
= 513 / 909
= 513
Step2:
LCM(9, 121) = 1089
GCD(9, 121) = ( 9 x 121 ) / 1089
= 9 / 121
= 9
Step3:
LCM(1, 708) = 708
GCD(1, 708) = ( 1 x 708 ) / 708
= 1 / 708
= 1
So, Greatest Common Divisor of 513, 909, 121, 708 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 909, 121, 708
The greatest common divisor of numbers 513, 909, 121, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 909, 121, 708 is 1.
1. What is the GCD of 513, 909, 121, 708?
GCD of given numbers 513, 909, 121, 708 is 1
2. How to calculate the greatest common divisor of 513, 909, 121, 708?
We can find the highest common divisor of 513, 909, 121, 708 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, 909, 121, 708 i.e 1.
3. How can I use the GCD of 513, 909, 121, 708Calculator?
Out the numbers 513, 909, 121, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.