Online GCD Calculator is useful to find the GCD of 385, 480, 512, 280 quickly. Get the easiest ways to solve the greatest common divisor of 385, 480, 512, 280 i.e 1 in different methods as follows.
Given Input numbers are 385, 480, 512, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
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 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD of numbers is the greatest common divisor
So, the GCD (385, 480, 512, 280) = 1.
Given numbers are 385, 480, 512, 280
The list of prime factors of all numbers are
Prime factors of 385 are 5 x 7 x 11
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 385, 480, 512, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(385, 480) = 36960
GCD(385, 480) = ( 385 x 480 ) / 36960
= 385 / 480
= 385
Step2:
LCM(5, 512) = 2560
GCD(5, 512) = ( 5 x 512 ) / 2560
= 5 / 512
= 5
Step3:
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
= 1 / 280
= 1
So, Greatest Common Divisor of 385, 480, 512, 280 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 385, 480, 512, 280
The greatest common divisor of numbers 385, 480, 512, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 480, 512, 280 is 1.
1. What is the GCD of 385, 480, 512, 280?
GCD of given numbers 385, 480, 512, 280 is 1
2. How to calculate the greatest common divisor of 385, 480, 512, 280?
We can find the highest common divisor of 385, 480, 512, 280 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 385, 480, 512, 280 i.e 1.
3. How can I use the GCD of 385, 480, 512, 280Calculator?
Out the numbers 385, 480, 512, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.