Online GCD Calculator is useful to find the GCD of 121, 428, 854 quickly. Get the easiest ways to solve the greatest common divisor of 121, 428, 854 i.e 1 in different methods as follows.
Given Input numbers are 121, 428, 854
In the factoring method, we have to find the divisors of all numbers
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (121, 428, 854) = 1.
Given numbers are 121, 428, 854
The list of prime factors of all numbers are
Prime factors of 121 are 11 x 11
Prime factors of 428 are 2 x 2 x 107
Prime factors of 854 are 2 x 7 x 61
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 121, 428, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(121, 428) = 51788
GCD(121, 428) = ( 121 x 428 ) / 51788
= 121 / 428
= 121
Step2:
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
= 1 / 854
= 1
So, Greatest Common Divisor of 121, 428, 854 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 121, 428, 854
The greatest common divisor of numbers 121, 428, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 428, 854 is 1.
1. What is the GCD of 121, 428, 854?
GCD of given numbers 121, 428, 854 is 1
2. How to calculate the greatest common divisor of 121, 428, 854?
We can find the highest common divisor of 121, 428, 854 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 121, 428, 854 i.e 1.
3. How can I use the GCD of 121, 428, 854Calculator?
Out the numbers 121, 428, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.