Online GCD Calculator is useful to find the GCD of 460, 928, 404, 624 quickly. Get the easiest ways to solve the greatest common divisor of 460, 928, 404, 624 i.e 4 in different methods as follows.
Given Input numbers are 460, 928, 404, 624
In the factoring method, we have to find the divisors of all numbers
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 928 :
The positive integer divisors of 928 that completely divides 928 are.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
GCD of numbers is the greatest common divisor
So, the GCD (460, 928, 404, 624) = 4.
Given numbers are 460, 928, 404, 624
The list of prime factors of all numbers are
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29
Prime factors of 404 are 2 x 2 x 101
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
The highest common occurrence is 22
Therefore, GCD of 460, 928, 404, 624 is 4.
Given numbers are 460, 928, 404, 624
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(460, 928) = 106720
GCD(460, 928) = ( 460 x 928 ) / 106720
= 460 / 928
= 460
Step2:
LCM(4, 404) = 404
GCD(4, 404) = ( 4 x 404 ) / 404
= 4 / 404
= 4
Step3:
LCM(4, 624) = 624
GCD(4, 624) = ( 4 x 624 ) / 624
= 4 / 624
= 4
So, Greatest Common Divisor of 460, 928, 404, 624 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 460, 928, 404, 624
The greatest common divisor of numbers 460, 928, 404, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 928, 404, 624 is 4.
1. What is the GCD of 460, 928, 404, 624?
GCD of given numbers 460, 928, 404, 624 is 4
2. How to calculate the greatest common divisor of 460, 928, 404, 624?
We can find the highest common divisor of 460, 928, 404, 624 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 460, 928, 404, 624 i.e 4.
3. How can I use the GCD of 460, 928, 404, 624Calculator?
Out the numbers 460, 928, 404, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.