Online GCD Calculator is useful to find the GCD of 561, 720, 472, 448 quickly. Get the easiest ways to solve the greatest common divisor of 561, 720, 472, 448 i.e 1 in different methods as follows.
Given Input numbers are 561, 720, 472, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (561, 720, 472, 448) = 1.
Given numbers are 561, 720, 472, 448
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 720, 472, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 720) = 134640
GCD(561, 720) = ( 561 x 720 ) / 134640
= 561 / 720
= 561
Step2:
LCM(3, 472) = 1416
GCD(3, 472) = ( 3 x 472 ) / 1416
= 3 / 472
= 3
Step3:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
So, Greatest Common Divisor of 561, 720, 472, 448 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 720, 472, 448
The greatest common divisor of numbers 561, 720, 472, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 720, 472, 448 is 1.
1. What is the GCD of 561, 720, 472, 448?
GCD of given numbers 561, 720, 472, 448 is 1
2. How to calculate the greatest common divisor of 561, 720, 472, 448?
We can find the highest common divisor of 561, 720, 472, 448 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 561, 720, 472, 448 i.e 1.
3. How can I use the GCD of 561, 720, 472, 448Calculator?
Out the numbers 561, 720, 472, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.