Online GCD Calculator is useful to find the GCD of 320, 420, 913, 392 quickly. Get the easiest ways to solve the greatest common divisor of 320, 420, 913, 392 i.e 1 in different methods as follows.
Given Input numbers are 320, 420, 913, 392
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 913 :
The positive integer divisors of 913 that completely divides 913 are.
1, 11, 83, 913
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
GCD of numbers is the greatest common divisor
So, the GCD (320, 420, 913, 392) = 1.
Given numbers are 320, 420, 913, 392
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 913 are 11 x 83
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 320, 420, 913, 392
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 420) = 6720
GCD(320, 420) = ( 320 x 420 ) / 6720
= 320 / 420
= 320
Step2:
LCM(20, 913) = 18260
GCD(20, 913) = ( 20 x 913 ) / 18260
= 20 / 913
= 20
Step3:
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
= 1 / 392
= 1
So, Greatest Common Divisor of 320, 420, 913, 392 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 420, 913, 392
The greatest common divisor of numbers 320, 420, 913, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 420, 913, 392 is 1.
1. What is the GCD of 320, 420, 913, 392?
GCD of given numbers 320, 420, 913, 392 is 1
2. How to calculate the greatest common divisor of 320, 420, 913, 392?
We can find the highest common divisor of 320, 420, 913, 392 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 320, 420, 913, 392 i.e 1.
3. How can I use the GCD of 320, 420, 913, 392Calculator?
Out the numbers 320, 420, 913, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.