Online GCD Calculator is useful to find the GCD of 513, 774, 978, 958 quickly. Get the easiest ways to solve the greatest common divisor of 513, 774, 978, 958 i.e 1 in different methods as follows.
Given Input numbers are 513, 774, 978, 958
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 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 978 :
The positive integer divisors of 978 that completely divides 978 are.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 958 :
The positive integer divisors of 958 that completely divides 958 are.
1, 2, 479, 958
GCD of numbers is the greatest common divisor
So, the GCD (513, 774, 978, 958) = 1.
Given numbers are 513, 774, 978, 958
The list of prime factors of all numbers are
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 978 are 2 x 3 x 163
Prime factors of 958 are 2 x 479
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 513, 774, 978, 958
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(513, 774) = 44118
GCD(513, 774) = ( 513 x 774 ) / 44118
= 513 / 774
= 513
Step2:
LCM(9, 978) = 2934
GCD(9, 978) = ( 9 x 978 ) / 2934
= 9 / 978
= 9
Step3:
LCM(3, 958) = 2874
GCD(3, 958) = ( 3 x 958 ) / 2874
= 3 / 958
= 3
So, Greatest Common Divisor of 513, 774, 978, 958 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 513, 774, 978, 958
The greatest common divisor of numbers 513, 774, 978, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 774, 978, 958 is 1.
1. What is the GCD of 513, 774, 978, 958?
GCD of given numbers 513, 774, 978, 958 is 1
2. How to calculate the greatest common divisor of 513, 774, 978, 958?
We can find the highest common divisor of 513, 774, 978, 958 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, 774, 978, 958 i.e 1.
3. How can I use the GCD of 513, 774, 978, 958Calculator?
Out the numbers 513, 774, 978, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.