Online GCD Calculator is useful to find the GCD of 385, 640, 21, 299 quickly. Get the easiest ways to solve the greatest common divisor of 385, 640, 21, 299 i.e 1 in different methods as follows.
Given Input numbers are 385, 640, 21, 299
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 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
GCD of numbers is the greatest common divisor
So, the GCD (385, 640, 21, 299) = 1.
Given numbers are 385, 640, 21, 299
The list of prime factors of all numbers are
Prime factors of 385 are 5 x 7 x 11
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 21 are 3 x 7
Prime factors of 299 are 13 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 385, 640, 21, 299
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(385, 640) = 49280
GCD(385, 640) = ( 385 x 640 ) / 49280
= 385 / 640
= 385
Step2:
LCM(5, 21) = 105
GCD(5, 21) = ( 5 x 21 ) / 105
= 5 / 21
= 5
Step3:
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
= 1 / 299
= 1
So, Greatest Common Divisor of 385, 640, 21, 299 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 385, 640, 21, 299
The greatest common divisor of numbers 385, 640, 21, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 640, 21, 299 is 1.
1. What is the GCD of 385, 640, 21, 299?
GCD of given numbers 385, 640, 21, 299 is 1
2. How to calculate the greatest common divisor of 385, 640, 21, 299?
We can find the highest common divisor of 385, 640, 21, 299 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, 640, 21, 299 i.e 1.
3. How can I use the GCD of 385, 640, 21, 299Calculator?
Out the numbers 385, 640, 21, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.