Online GCD Calculator is useful to find the GCD of 145, 768, 513, 698 quickly. Get the easiest ways to solve the greatest common divisor of 145, 768, 513, 698 i.e 1 in different methods as follows.
Given Input numbers are 145, 768, 513, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 145 :
The positive integer divisors of 145 that completely divides 145 are.
1, 5, 29, 145
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (145, 768, 513, 698) = 1.
Given numbers are 145, 768, 513, 698
The list of prime factors of all numbers are
Prime factors of 145 are 5 x 29
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 145, 768, 513, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(145, 768) = 111360
GCD(145, 768) = ( 145 x 768 ) / 111360
= 145 / 768
= 145
Step2:
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
= 1 / 513
= 1
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 145, 768, 513, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 145, 768, 513, 698
The greatest common divisor of numbers 145, 768, 513, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 768, 513, 698 is 1.
1. What is the GCD of 145, 768, 513, 698?
GCD of given numbers 145, 768, 513, 698 is 1
2. How to calculate the greatest common divisor of 145, 768, 513, 698?
We can find the highest common divisor of 145, 768, 513, 698 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 145, 768, 513, 698 i.e 1.
3. How can I use the GCD of 145, 768, 513, 698Calculator?
Out the numbers 145, 768, 513, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.