Online GCD Calculator is useful to find the GCD of 420, 632, 522, 468 quickly. Get the easiest ways to solve the greatest common divisor of 420, 632, 522, 468 i.e 2 in different methods as follows.
Given Input numbers are 420, 632, 522, 468
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 522 :
The positive integer divisors of 522 that completely divides 522 are.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
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
GCD of numbers is the greatest common divisor
So, the GCD (420, 632, 522, 468) = 2.
Given numbers are 420, 632, 522, 468
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 522 are 2 x 3 x 3 x 29
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 420, 632, 522, 468 is 2.
Given numbers are 420, 632, 522, 468
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 632) = 66360
GCD(420, 632) = ( 420 x 632 ) / 66360
= 420 / 632
= 420
Step2:
LCM(4, 522) = 1044
GCD(4, 522) = ( 4 x 522 ) / 1044
= 4 / 522
= 4
Step3:
LCM(2, 468) = 468
GCD(2, 468) = ( 2 x 468 ) / 468
= 2 / 468
= 2
So, Greatest Common Divisor of 420, 632, 522, 468 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 632, 522, 468
The greatest common divisor of numbers 420, 632, 522, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 632, 522, 468 is 2.
1. What is the GCD of 420, 632, 522, 468?
GCD of given numbers 420, 632, 522, 468 is 2
2. How to calculate the greatest common divisor of 420, 632, 522, 468?
We can find the highest common divisor of 420, 632, 522, 468 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 420, 632, 522, 468 i.e 2.
3. How can I use the GCD of 420, 632, 522, 468Calculator?
Out the numbers 420, 632, 522, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.