Online GCD Calculator is useful to find the GCD of 413, 882, 462, 182 quickly. Get the easiest ways to solve the greatest common divisor of 413, 882, 462, 182 i.e 7 in different methods as follows.
Given Input numbers are 413, 882, 462, 182
In the factoring method, we have to find the divisors of all numbers
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
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 182 :
The positive integer divisors of 182 that completely divides 182 are.
1, 2, 7, 13, 14, 26, 91, 182
GCD of numbers is the greatest common divisor
So, the GCD (413, 882, 462, 182) = 7.
Given numbers are 413, 882, 462, 182
The list of prime factors of all numbers are
Prime factors of 413 are 7 x 59
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
Prime factors of 462 are 2 x 3 x 7 x 11
Prime factors of 182 are 2 x 7 x 13
The highest common occurrence is 71
Therefore, GCD of 413, 882, 462, 182 is 7.
Given numbers are 413, 882, 462, 182
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(413, 882) = 52038
GCD(413, 882) = ( 413 x 882 ) / 52038
= 413 / 882
= 413
Step2:
LCM(7, 462) = 462
GCD(7, 462) = ( 7 x 462 ) / 462
= 7 / 462
= 7
Step3:
LCM(7, 182) = 182
GCD(7, 182) = ( 7 x 182 ) / 182
= 7 / 182
= 7
So, Greatest Common Divisor of 413, 882, 462, 182 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 413, 882, 462, 182
The greatest common divisor of numbers 413, 882, 462, 182 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 413, 882, 462, 182 is 7.
1. What is the GCD of 413, 882, 462, 182?
GCD of given numbers 413, 882, 462, 182 is 7
2. How to calculate the greatest common divisor of 413, 882, 462, 182?
We can find the highest common divisor of 413, 882, 462, 182 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 413, 882, 462, 182 i.e 7.
3. How can I use the GCD of 413, 882, 462, 182Calculator?
Out the numbers 413, 882, 462, 182 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.