Online GCD Calculator is useful to find the GCD of 429, 465, 310, 997 quickly. Get the easiest ways to solve the greatest common divisor of 429, 465, 310, 997 i.e 1 in different methods as follows.
Given Input numbers are 429, 465, 310, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 310 :
The positive integer divisors of 310 that completely divides 310 are.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (429, 465, 310, 997) = 1.
Given numbers are 429, 465, 310, 997
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 465 are 3 x 5 x 31
Prime factors of 310 are 2 x 5 x 31
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 429, 465, 310, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 465) = 66495
GCD(429, 465) = ( 429 x 465 ) / 66495
= 429 / 465
= 429
Step2:
LCM(3, 310) = 930
GCD(3, 310) = ( 3 x 310 ) / 930
= 3 / 310
= 3
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 429, 465, 310, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 465, 310, 997
The greatest common divisor of numbers 429, 465, 310, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 465, 310, 997 is 1.
1. What is the GCD of 429, 465, 310, 997?
GCD of given numbers 429, 465, 310, 997 is 1
2. How to calculate the greatest common divisor of 429, 465, 310, 997?
We can find the highest common divisor of 429, 465, 310, 997 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 429, 465, 310, 997 i.e 1.
3. How can I use the GCD of 429, 465, 310, 997Calculator?
Out the numbers 429, 465, 310, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.