Online GCD Calculator is useful to find the GCD of 424, 689, 768, 381 quickly. Get the easiest ways to solve the greatest common divisor of 424, 689, 768, 381 i.e 1 in different methods as follows.
Given Input numbers are 424, 689, 768, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (424, 689, 768, 381) = 1.
Given numbers are 424, 689, 768, 381
The list of prime factors of all numbers are
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 689 are 13 x 53
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 381 are 3 x 127
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 424, 689, 768, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(424, 689) = 5512
GCD(424, 689) = ( 424 x 689 ) / 5512
= 424 / 689
= 424
Step2:
LCM(53, 768) = 40704
GCD(53, 768) = ( 53 x 768 ) / 40704
= 53 / 768
= 53
Step3:
LCM(1, 381) = 381
GCD(1, 381) = ( 1 x 381 ) / 381
= 1 / 381
= 1
So, Greatest Common Divisor of 424, 689, 768, 381 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 424, 689, 768, 381
The greatest common divisor of numbers 424, 689, 768, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 689, 768, 381 is 1.
1. What is the GCD of 424, 689, 768, 381?
GCD of given numbers 424, 689, 768, 381 is 1
2. How to calculate the greatest common divisor of 424, 689, 768, 381?
We can find the highest common divisor of 424, 689, 768, 381 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 424, 689, 768, 381 i.e 1.
3. How can I use the GCD of 424, 689, 768, 381Calculator?
Out the numbers 424, 689, 768, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.