Online GCD Calculator is useful to find the GCD of 994, 429, 460 quickly. Get the easiest ways to solve the greatest common divisor of 994, 429, 460 i.e 1 in different methods as follows.
Given Input numbers are 994, 429, 460
In the factoring method, we have to find the divisors of all numbers
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
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
GCD of numbers is the greatest common divisor
So, the GCD (994, 429, 460) = 1.
Given numbers are 994, 429, 460
The list of prime factors of all numbers are
Prime factors of 994 are 2 x 7 x 71
Prime factors of 429 are 3 x 11 x 13
Prime factors of 460 are 2 x 2 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 994, 429, 460
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(994, 429) = 426426
GCD(994, 429) = ( 994 x 429 ) / 426426
= 994 / 429
= 994
Step2:
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
= 1 / 460
= 1
So, Greatest Common Divisor of 994, 429, 460 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 994, 429, 460
The greatest common divisor of numbers 994, 429, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 429, 460 is 1.
1. What is the GCD of 994, 429, 460?
GCD of given numbers 994, 429, 460 is 1
2. How to calculate the greatest common divisor of 994, 429, 460?
We can find the highest common divisor of 994, 429, 460 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 994, 429, 460 i.e 1.
3. How can I use the GCD of 994, 429, 460Calculator?
Out the numbers 994, 429, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.