Online GCD Calculator is useful to find the GCD of 231, 642, 579, 357 quickly. Get the easiest ways to solve the greatest common divisor of 231, 642, 579, 357 i.e 3 in different methods as follows.
Given Input numbers are 231, 642, 579, 357
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 579 :
The positive integer divisors of 579 that completely divides 579 are.
1, 3, 193, 579
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (231, 642, 579, 357) = 3.
Given numbers are 231, 642, 579, 357
The list of prime factors of all numbers are
Prime factors of 231 are 3 x 7 x 11
Prime factors of 642 are 2 x 3 x 107
Prime factors of 579 are 3 x 193
Prime factors of 357 are 3 x 7 x 17
The highest common occurrence is 31
Therefore, GCD of 231, 642, 579, 357 is 3.
Given numbers are 231, 642, 579, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(231, 642) = 49434
GCD(231, 642) = ( 231 x 642 ) / 49434
= 231 / 642
= 231
Step2:
LCM(3, 579) = 579
GCD(3, 579) = ( 3 x 579 ) / 579
= 3 / 579
= 3
Step3:
LCM(3, 357) = 357
GCD(3, 357) = ( 3 x 357 ) / 357
= 3 / 357
= 3
So, Greatest Common Divisor of 231, 642, 579, 357 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 231, 642, 579, 357
The greatest common divisor of numbers 231, 642, 579, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 642, 579, 357 is 3.
1. What is the GCD of 231, 642, 579, 357?
GCD of given numbers 231, 642, 579, 357 is 3
2. How to calculate the greatest common divisor of 231, 642, 579, 357?
We can find the highest common divisor of 231, 642, 579, 357 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, 642, 579, 357 i.e 3.
3. How can I use the GCD of 231, 642, 579, 357Calculator?
Out the numbers 231, 642, 579, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.