Online GCD Calculator is useful to find the GCD of 782, 788, 512, 349 quickly. Get the easiest ways to solve the greatest common divisor of 782, 788, 512, 349 i.e 1 in different methods as follows.
Given Input numbers are 782, 788, 512, 349
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
GCD of numbers is the greatest common divisor
So, the GCD (782, 788, 512, 349) = 1.
Given numbers are 782, 788, 512, 349
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 788 are 2 x 2 x 197
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 349 are 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 782, 788, 512, 349
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 788) = 308108
GCD(782, 788) = ( 782 x 788 ) / 308108
= 782 / 788
= 782
Step2:
LCM(2, 512) = 512
GCD(2, 512) = ( 2 x 512 ) / 512
= 2 / 512
= 2
Step3:
LCM(2, 349) = 698
GCD(2, 349) = ( 2 x 349 ) / 698
= 2 / 349
= 2
So, Greatest Common Divisor of 782, 788, 512, 349 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 788, 512, 349
The greatest common divisor of numbers 782, 788, 512, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 788, 512, 349 is 1.
1. What is the GCD of 782, 788, 512, 349?
GCD of given numbers 782, 788, 512, 349 is 1
2. How to calculate the greatest common divisor of 782, 788, 512, 349?
We can find the highest common divisor of 782, 788, 512, 349 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 782, 788, 512, 349 i.e 1.
3. How can I use the GCD of 782, 788, 512, 349Calculator?
Out the numbers 782, 788, 512, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.