Online GCD Calculator is useful to find the GCD of 110, 360, 772, 477 quickly. Get the easiest ways to solve the greatest common divisor of 110, 360, 772, 477 i.e 1 in different methods as follows.
Given Input numbers are 110, 360, 772, 477
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (110, 360, 772, 477) = 1.
Given numbers are 110, 360, 772, 477
The list of prime factors of all numbers are
Prime factors of 110 are 2 x 5 x 11
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 772 are 2 x 2 x 193
Prime factors of 477 are 3 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 110, 360, 772, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(110, 360) = 3960
GCD(110, 360) = ( 110 x 360 ) / 3960
= 110 / 360
= 110
Step2:
LCM(10, 772) = 3860
GCD(10, 772) = ( 10 x 772 ) / 3860
= 10 / 772
= 10
Step3:
LCM(2, 477) = 954
GCD(2, 477) = ( 2 x 477 ) / 954
= 2 / 477
= 2
So, Greatest Common Divisor of 110, 360, 772, 477 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 110, 360, 772, 477
The greatest common divisor of numbers 110, 360, 772, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 360, 772, 477 is 1.
1. What is the GCD of 110, 360, 772, 477?
GCD of given numbers 110, 360, 772, 477 is 1
2. How to calculate the greatest common divisor of 110, 360, 772, 477?
We can find the highest common divisor of 110, 360, 772, 477 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 110, 360, 772, 477 i.e 1.
3. How can I use the GCD of 110, 360, 772, 477Calculator?
Out the numbers 110, 360, 772, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.