Online GCD Calculator is useful to find the GCD of 464, 900, 432, 626 quickly. Get the easiest ways to solve the greatest common divisor of 464, 900, 432, 626 i.e 2 in different methods as follows.
Given Input numbers are 464, 900, 432, 626
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
GCD of numbers is the greatest common divisor
So, the GCD (464, 900, 432, 626) = 2.
Given numbers are 464, 900, 432, 626
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 626 are 2 x 313
The highest common occurrence is 21
Therefore, GCD of 464, 900, 432, 626 is 2.
Given numbers are 464, 900, 432, 626
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 900) = 104400
GCD(464, 900) = ( 464 x 900 ) / 104400
= 464 / 900
= 464
Step2:
LCM(4, 432) = 432
GCD(4, 432) = ( 4 x 432 ) / 432
= 4 / 432
= 4
Step3:
LCM(4, 626) = 1252
GCD(4, 626) = ( 4 x 626 ) / 1252
= 4 / 626
= 4
So, Greatest Common Divisor of 464, 900, 432, 626 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 900, 432, 626
The greatest common divisor of numbers 464, 900, 432, 626 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 900, 432, 626 is 2.
1. What is the GCD of 464, 900, 432, 626?
GCD of given numbers 464, 900, 432, 626 is 2
2. How to calculate the greatest common divisor of 464, 900, 432, 626?
We can find the highest common divisor of 464, 900, 432, 626 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 464, 900, 432, 626 i.e 2.
3. How can I use the GCD of 464, 900, 432, 626Calculator?
Out the numbers 464, 900, 432, 626 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.