Online GCD Calculator is useful to find the GCD of 462, 501, 261, 831 quickly. Get the easiest ways to solve the greatest common divisor of 462, 501, 261, 831 i.e 3 in different methods as follows.
Given Input numbers are 462, 501, 261, 831
In the factoring method, we have to find the divisors of all numbers
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
GCD of numbers is the greatest common divisor
So, the GCD (462, 501, 261, 831) = 3.
Given numbers are 462, 501, 261, 831
The list of prime factors of all numbers are
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 501 are 3 x 167
Prime factors of 261 are 3 x 3 x 29
Prime factors of 831 are 3 x 277
The highest common occurrence is 31
Therefore, GCD of 462, 501, 261, 831 is 3.
Given numbers are 462, 501, 261, 831
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(462, 501) = 77154
GCD(462, 501) = ( 462 x 501 ) / 77154
= 462 / 501
= 462
Step2:
LCM(3, 261) = 261
GCD(3, 261) = ( 3 x 261 ) / 261
= 3 / 261
= 3
Step3:
LCM(3, 831) = 831
GCD(3, 831) = ( 3 x 831 ) / 831
= 3 / 831
= 3
So, Greatest Common Divisor of 462, 501, 261, 831 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 462, 501, 261, 831
The greatest common divisor of numbers 462, 501, 261, 831 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 501, 261, 831 is 3.
1. What is the GCD of 462, 501, 261, 831?
GCD of given numbers 462, 501, 261, 831 is 3
2. How to calculate the greatest common divisor of 462, 501, 261, 831?
We can find the highest common divisor of 462, 501, 261, 831 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 462, 501, 261, 831 i.e 3.
3. How can I use the GCD of 462, 501, 261, 831Calculator?
Out the numbers 462, 501, 261, 831 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.