Online GCD Calculator is useful to find the GCD of 429, 397, 902, 314 quickly. Get the easiest ways to solve the greatest common divisor of 429, 397, 902, 314 i.e 1 in different methods as follows.
Given Input numbers are 429, 397, 902, 314
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 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
GCD of numbers is the greatest common divisor
So, the GCD (429, 397, 902, 314) = 1.
Given numbers are 429, 397, 902, 314
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 397 are 397
Prime factors of 902 are 2 x 11 x 41
Prime factors of 314 are 2 x 157
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 429, 397, 902, 314
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 397) = 170313
GCD(429, 397) = ( 429 x 397 ) / 170313
= 429 / 397
= 429
Step2:
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
= 1 / 902
= 1
Step3:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
So, Greatest Common Divisor of 429, 397, 902, 314 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 397, 902, 314
The greatest common divisor of numbers 429, 397, 902, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 397, 902, 314 is 1.
1. What is the GCD of 429, 397, 902, 314?
GCD of given numbers 429, 397, 902, 314 is 1
2. How to calculate the greatest common divisor of 429, 397, 902, 314?
We can find the highest common divisor of 429, 397, 902, 314 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, 397, 902, 314 i.e 1.
3. How can I use the GCD of 429, 397, 902, 314Calculator?
Out the numbers 429, 397, 902, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.