Online GCD Calculator is useful to find the GCD of 495, 795, 112, 560 quickly. Get the easiest ways to solve the greatest common divisor of 495, 795, 112, 560 i.e 1 in different methods as follows.
Given Input numbers are 495, 795, 112, 560
In the factoring method, we have to find the divisors of all numbers
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
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
GCD of numbers is the greatest common divisor
So, the GCD (495, 795, 112, 560) = 1.
Given numbers are 495, 795, 112, 560
The list of prime factors of all numbers are
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 795 are 3 x 5 x 53
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 560 are 2 x 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 495, 795, 112, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(495, 795) = 26235
GCD(495, 795) = ( 495 x 795 ) / 26235
= 495 / 795
= 495
Step2:
LCM(15, 112) = 1680
GCD(15, 112) = ( 15 x 112 ) / 1680
= 15 / 112
= 15
Step3:
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
= 1 / 560
= 1
So, Greatest Common Divisor of 495, 795, 112, 560 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 495, 795, 112, 560
The greatest common divisor of numbers 495, 795, 112, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 795, 112, 560 is 1.
1. What is the GCD of 495, 795, 112, 560?
GCD of given numbers 495, 795, 112, 560 is 1
2. How to calculate the greatest common divisor of 495, 795, 112, 560?
We can find the highest common divisor of 495, 795, 112, 560 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 495, 795, 112, 560 i.e 1.
3. How can I use the GCD of 495, 795, 112, 560Calculator?
Out the numbers 495, 795, 112, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.