Online GCD Calculator is useful to find the GCD of 782, 472, 452, 313 quickly. Get the easiest ways to solve the greatest common divisor of 782, 472, 452, 313 i.e 1 in different methods as follows.
Given Input numbers are 782, 472, 452, 313
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
GCD of numbers is the greatest common divisor
So, the GCD (782, 472, 452, 313) = 1.
Given numbers are 782, 472, 452, 313
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 452 are 2 x 2 x 113
Prime factors of 313 are 313
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 782, 472, 452, 313
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 472) = 184552
GCD(782, 472) = ( 782 x 472 ) / 184552
= 782 / 472
= 782
Step2:
LCM(2, 452) = 452
GCD(2, 452) = ( 2 x 452 ) / 452
= 2 / 452
= 2
Step3:
LCM(2, 313) = 626
GCD(2, 313) = ( 2 x 313 ) / 626
= 2 / 313
= 2
So, Greatest Common Divisor of 782, 472, 452, 313 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 472, 452, 313
The greatest common divisor of numbers 782, 472, 452, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 472, 452, 313 is 1.
1. What is the GCD of 782, 472, 452, 313?
GCD of given numbers 782, 472, 452, 313 is 1
2. How to calculate the greatest common divisor of 782, 472, 452, 313?
We can find the highest common divisor of 782, 472, 452, 313 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, 472, 452, 313 i.e 1.
3. How can I use the GCD of 782, 472, 452, 313Calculator?
Out the numbers 782, 472, 452, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.