Online GCD Calculator is useful to find the GCD of 231, 696, 24, 801 quickly. Get the easiest ways to solve the greatest common divisor of 231, 696, 24, 801 i.e 3 in different methods as follows.
Given Input numbers are 231, 696, 24, 801
In the factoring method, we have to find the divisors of all numbers
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 24 :
The positive integer divisors of 24 that completely divides 24 are.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 801 :
The positive integer divisors of 801 that completely divides 801 are.
1, 3, 9, 89, 267, 801
GCD of numbers is the greatest common divisor
So, the GCD (231, 696, 24, 801) = 3.
Given numbers are 231, 696, 24, 801
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 24 are 2 x 2 x 2 x 3
Prime factors of 801 are 3 x 3 x 89
The highest common occurrence is 31
Therefore, GCD of 231, 696, 24, 801 is 3.
Given numbers are 231, 696, 24, 801
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 696) = 53592
GCD(231, 696) = ( 231 x 696 ) / 53592
= 231 / 696
= 231
Step2:
LCM(3, 24) = 24
GCD(3, 24) = ( 3 x 24 ) / 24
= 3 / 24
= 3
Step3:
LCM(3, 801) = 801
GCD(3, 801) = ( 3 x 801 ) / 801
= 3 / 801
= 3
So, Greatest Common Divisor of 231, 696, 24, 801 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 696, 24, 801
The greatest common divisor of numbers 231, 696, 24, 801 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 696, 24, 801 is 3.
1. What is the GCD of 231, 696, 24, 801?
GCD of given numbers 231, 696, 24, 801 is 3
2. How to calculate the greatest common divisor of 231, 696, 24, 801?
We can find the highest common divisor of 231, 696, 24, 801 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 231, 696, 24, 801 i.e 3.
3. How can I use the GCD of 231, 696, 24, 801Calculator?
Out the numbers 231, 696, 24, 801 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.