Online GCD Calculator is useful to find the GCD of 460, 891, 424, 121 quickly. Get the easiest ways to solve the greatest common divisor of 460, 891, 424, 121 i.e 1 in different methods as follows.
Given Input numbers are 460, 891, 424, 121
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
GCD of numbers is the greatest common divisor
So, the GCD (460, 891, 424, 121) = 1.
Given numbers are 460, 891, 424, 121
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 121 are 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 460, 891, 424, 121
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 891) = 409860
GCD(460, 891) = ( 460 x 891 ) / 409860
= 460 / 891
= 460
Step2:
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
= 1 / 424
= 1
Step3:
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
= 1 / 121
= 1
So, Greatest Common Divisor of 460, 891, 424, 121 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 891, 424, 121
The greatest common divisor of numbers 460, 891, 424, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 891, 424, 121 is 1.
1. What is the GCD of 460, 891, 424, 121?
GCD of given numbers 460, 891, 424, 121 is 1
2. How to calculate the greatest common divisor of 460, 891, 424, 121?
We can find the highest common divisor of 460, 891, 424, 121 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 460, 891, 424, 121 i.e 1.
3. How can I use the GCD of 460, 891, 424, 121Calculator?
Out the numbers 460, 891, 424, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.