Online GCD Calculator is useful to find the GCD of 831, 972, 434 quickly. Get the easiest ways to solve the greatest common divisor of 831, 972, 434 i.e 1 in different methods as follows.
Given Input numbers are 831, 972, 434
In the factoring method, we have to find the divisors of all numbers
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (831, 972, 434) = 1.
Given numbers are 831, 972, 434
The list of prime factors of all numbers are
Prime factors of 831 are 3 x 277
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 434 are 2 x 7 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 831, 972, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(831, 972) = 269244
GCD(831, 972) = ( 831 x 972 ) / 269244
= 831 / 972
= 831
Step2:
LCM(3, 434) = 1302
GCD(3, 434) = ( 3 x 434 ) / 1302
= 3 / 434
= 3
So, Greatest Common Divisor of 831, 972, 434 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 831, 972, 434
The greatest common divisor of numbers 831, 972, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 972, 434 is 1.
1. What is the GCD of 831, 972, 434?
GCD of given numbers 831, 972, 434 is 1
2. How to calculate the greatest common divisor of 831, 972, 434?
We can find the highest common divisor of 831, 972, 434 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 831, 972, 434 i.e 1.
3. How can I use the GCD of 831, 972, 434Calculator?
Out the numbers 831, 972, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.