Online GCD Calculator is useful to find the GCD of 560, 264, 431, 404 quickly. Get the easiest ways to solve the greatest common divisor of 560, 264, 431, 404 i.e 1 in different methods as follows.
Given Input numbers are 560, 264, 431, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 431 :
The positive integer divisors of 431 that completely divides 431 are.
1, 431
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (560, 264, 431, 404) = 1.
Given numbers are 560, 264, 431, 404
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 431 are 431
Prime factors of 404 are 2 x 2 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 264, 431, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 264) = 18480
GCD(560, 264) = ( 560 x 264 ) / 18480
= 560 / 264
= 560
Step2:
LCM(8, 431) = 3448
GCD(8, 431) = ( 8 x 431 ) / 3448
= 8 / 431
= 8
Step3:
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
= 1 / 404
= 1
So, Greatest Common Divisor of 560, 264, 431, 404 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 264, 431, 404
The greatest common divisor of numbers 560, 264, 431, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 264, 431, 404 is 1.
1. What is the GCD of 560, 264, 431, 404?
GCD of given numbers 560, 264, 431, 404 is 1
2. How to calculate the greatest common divisor of 560, 264, 431, 404?
We can find the highest common divisor of 560, 264, 431, 404 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 560, 264, 431, 404 i.e 1.
3. How can I use the GCD of 560, 264, 431, 404Calculator?
Out the numbers 560, 264, 431, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.