Online GCD Calculator is useful to find the GCD of 231, 565, 828, 352 quickly. Get the easiest ways to solve the greatest common divisor of 231, 565, 828, 352 i.e 1 in different methods as follows.
Given Input numbers are 231, 565, 828, 352
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 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (231, 565, 828, 352) = 1.
Given numbers are 231, 565, 828, 352
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 565 are 5 x 113
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 231, 565, 828, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 565) = 130515
GCD(231, 565) = ( 231 x 565 ) / 130515
= 231 / 565
= 231
Step2:
LCM(1, 828) = 828
GCD(1, 828) = ( 1 x 828 ) / 828
= 1 / 828
= 1
Step3:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
So, Greatest Common Divisor of 231, 565, 828, 352 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 565, 828, 352
The greatest common divisor of numbers 231, 565, 828, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 565, 828, 352 is 1.
1. What is the GCD of 231, 565, 828, 352?
GCD of given numbers 231, 565, 828, 352 is 1
2. How to calculate the greatest common divisor of 231, 565, 828, 352?
We can find the highest common divisor of 231, 565, 828, 352 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, 565, 828, 352 i.e 1.
3. How can I use the GCD of 231, 565, 828, 352Calculator?
Out the numbers 231, 565, 828, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.