Online GCD Calculator is useful to find the GCD of 468, 220, 414, 825 quickly. Get the easiest ways to solve the greatest common divisor of 468, 220, 414, 825 i.e 1 in different methods as follows.
Given Input numbers are 468, 220, 414, 825
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
GCD of numbers is the greatest common divisor
So, the GCD (468, 220, 414, 825) = 1.
Given numbers are 468, 220, 414, 825
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 220 are 2 x 2 x 5 x 11
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 825 are 3 x 5 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 468, 220, 414, 825
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 220) = 25740
GCD(468, 220) = ( 468 x 220 ) / 25740
= 468 / 220
= 468
Step2:
LCM(4, 414) = 828
GCD(4, 414) = ( 4 x 414 ) / 828
= 4 / 414
= 4
Step3:
LCM(2, 825) = 1650
GCD(2, 825) = ( 2 x 825 ) / 1650
= 2 / 825
= 2
So, Greatest Common Divisor of 468, 220, 414, 825 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 220, 414, 825
The greatest common divisor of numbers 468, 220, 414, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 220, 414, 825 is 1.
1. What is the GCD of 468, 220, 414, 825?
GCD of given numbers 468, 220, 414, 825 is 1
2. How to calculate the greatest common divisor of 468, 220, 414, 825?
We can find the highest common divisor of 468, 220, 414, 825 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 468, 220, 414, 825 i.e 1.
3. How can I use the GCD of 468, 220, 414, 825Calculator?
Out the numbers 468, 220, 414, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.