Online GCD Calculator is useful to find the GCD of 560, 133, 488, 414 quickly. Get the easiest ways to solve the greatest common divisor of 560, 133, 488, 414 i.e 1 in different methods as follows.
Given Input numbers are 560, 133, 488, 414
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 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
GCD of numbers is the greatest common divisor
So, the GCD (560, 133, 488, 414) = 1.
Given numbers are 560, 133, 488, 414
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 133 are 7 x 19
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 414 are 2 x 3 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 560, 133, 488, 414
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 133) = 10640
GCD(560, 133) = ( 560 x 133 ) / 10640
= 560 / 133
= 560
Step2:
LCM(7, 488) = 3416
GCD(7, 488) = ( 7 x 488 ) / 3416
= 7 / 488
= 7
Step3:
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
= 1 / 414
= 1
So, Greatest Common Divisor of 560, 133, 488, 414 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 133, 488, 414
The greatest common divisor of numbers 560, 133, 488, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 133, 488, 414 is 1.
1. What is the GCD of 560, 133, 488, 414?
GCD of given numbers 560, 133, 488, 414 is 1
2. How to calculate the greatest common divisor of 560, 133, 488, 414?
We can find the highest common divisor of 560, 133, 488, 414 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, 133, 488, 414 i.e 1.
3. How can I use the GCD of 560, 133, 488, 414Calculator?
Out the numbers 560, 133, 488, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.