Online GCD Calculator is useful to find the GCD of 462, 889, 154, 361 quickly. Get the easiest ways to solve the greatest common divisor of 462, 889, 154, 361 i.e 1 in different methods as follows.
Given Input numbers are 462, 889, 154, 361
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 361 :
The positive integer divisors of 361 that completely divides 361 are.
1, 19, 361
GCD of numbers is the greatest common divisor
So, the GCD (462, 889, 154, 361) = 1.
Given numbers are 462, 889, 154, 361
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 889 are 7 x 127
Prime factors of 154 are 2 x 7 x 11
Prime factors of 361 are 19 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 462, 889, 154, 361
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 889) = 58674
GCD(462, 889) = ( 462 x 889 ) / 58674
= 462 / 889
= 462
Step2:
LCM(7, 154) = 154
GCD(7, 154) = ( 7 x 154 ) / 154
= 7 / 154
= 7
Step3:
LCM(7, 361) = 2527
GCD(7, 361) = ( 7 x 361 ) / 2527
= 7 / 361
= 7
So, Greatest Common Divisor of 462, 889, 154, 361 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 889, 154, 361
The greatest common divisor of numbers 462, 889, 154, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 889, 154, 361 is 1.
1. What is the GCD of 462, 889, 154, 361?
GCD of given numbers 462, 889, 154, 361 is 1
2. How to calculate the greatest common divisor of 462, 889, 154, 361?
We can find the highest common divisor of 462, 889, 154, 361 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 462, 889, 154, 361 i.e 1.
3. How can I use the GCD of 462, 889, 154, 361Calculator?
Out the numbers 462, 889, 154, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.