Online GCD Calculator is useful to find the GCD of 831, 375, 645, 981 quickly. Get the easiest ways to solve the greatest common divisor of 831, 375, 645, 981 i.e 3 in different methods as follows.
Given Input numbers are 831, 375, 645, 981
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 375 :
The positive integer divisors of 375 that completely divides 375 are.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
GCD of numbers is the greatest common divisor
So, the GCD (831, 375, 645, 981) = 3.
Given numbers are 831, 375, 645, 981
The list of prime factors of all numbers are
Prime factors of 831 are 3 x 277
Prime factors of 375 are 3 x 5 x 5 x 5
Prime factors of 645 are 3 x 5 x 43
Prime factors of 981 are 3 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 831, 375, 645, 981 is 3.
Given numbers are 831, 375, 645, 981
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(831, 375) = 103875
GCD(831, 375) = ( 831 x 375 ) / 103875
= 831 / 375
= 831
Step2:
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
= 3 / 645
= 3
Step3:
LCM(3, 981) = 981
GCD(3, 981) = ( 3 x 981 ) / 981
= 3 / 981
= 3
So, Greatest Common Divisor of 831, 375, 645, 981 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 831, 375, 645, 981
The greatest common divisor of numbers 831, 375, 645, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 831, 375, 645, 981 is 3.
1. What is the GCD of 831, 375, 645, 981?
GCD of given numbers 831, 375, 645, 981 is 3
2. How to calculate the greatest common divisor of 831, 375, 645, 981?
We can find the highest common divisor of 831, 375, 645, 981 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, 375, 645, 981 i.e 3.
3. How can I use the GCD of 831, 375, 645, 981Calculator?
Out the numbers 831, 375, 645, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.