Online GCD Calculator is useful to find the GCD of 992, 480, 742, 395 quickly. Get the easiest ways to solve the greatest common divisor of 992, 480, 742, 395 i.e 1 in different methods as follows.
Given Input numbers are 992, 480, 742, 395
In the factoring method, we have to find the divisors of all numbers
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 395 :
The positive integer divisors of 395 that completely divides 395 are.
1, 5, 79, 395
GCD of numbers is the greatest common divisor
So, the GCD (992, 480, 742, 395) = 1.
Given numbers are 992, 480, 742, 395
The list of prime factors of all numbers are
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 742 are 2 x 7 x 53
Prime factors of 395 are 5 x 79
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 992, 480, 742, 395
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 480) = 14880
GCD(992, 480) = ( 992 x 480 ) / 14880
= 992 / 480
= 992
Step2:
LCM(32, 742) = 11872
GCD(32, 742) = ( 32 x 742 ) / 11872
= 32 / 742
= 32
Step3:
LCM(2, 395) = 790
GCD(2, 395) = ( 2 x 395 ) / 790
= 2 / 395
= 2
So, Greatest Common Divisor of 992, 480, 742, 395 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 992, 480, 742, 395
The greatest common divisor of numbers 992, 480, 742, 395 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 480, 742, 395 is 1.
1. What is the GCD of 992, 480, 742, 395?
GCD of given numbers 992, 480, 742, 395 is 1
2. How to calculate the greatest common divisor of 992, 480, 742, 395?
We can find the highest common divisor of 992, 480, 742, 395 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 992, 480, 742, 395 i.e 1.
3. How can I use the GCD of 992, 480, 742, 395Calculator?
Out the numbers 992, 480, 742, 395 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.