Online GCD Calculator is useful to find the GCD of 784, 345, 398, 801 quickly. Get the easiest ways to solve the greatest common divisor of 784, 345, 398, 801 i.e 1 in different methods as follows.
Given Input numbers are 784, 345, 398, 801
In the factoring method, we have to find the divisors of all numbers
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
GCD of numbers is the greatest common divisor
So, the GCD (784, 345, 398, 801) = 1.
Given numbers are 784, 345, 398, 801
The list of prime factors of all numbers are
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 345 are 3 x 5 x 23
Prime factors of 398 are 2 x 199
Prime factors of 801 are 3 x 3 x 89
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 784, 345, 398, 801
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 345) = 270480
GCD(784, 345) = ( 784 x 345 ) / 270480
= 784 / 345
= 784
Step2:
LCM(1, 398) = 398
GCD(1, 398) = ( 1 x 398 ) / 398
= 1 / 398
= 1
Step3:
LCM(1, 801) = 801
GCD(1, 801) = ( 1 x 801 ) / 801
= 1 / 801
= 1
So, Greatest Common Divisor of 784, 345, 398, 801 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 345, 398, 801
The greatest common divisor of numbers 784, 345, 398, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 345, 398, 801 is 1.
1. What is the GCD of 784, 345, 398, 801?
GCD of given numbers 784, 345, 398, 801 is 1
2. How to calculate the greatest common divisor of 784, 345, 398, 801?
We can find the highest common divisor of 784, 345, 398, 801 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 784, 345, 398, 801 i.e 1.
3. How can I use the GCD of 784, 345, 398, 801Calculator?
Out the numbers 784, 345, 398, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.