Online GCD Calculator is useful to find the GCD of 400, 512, 448, 976 quickly. Get the easiest ways to solve the greatest common divisor of 400, 512, 448, 976 i.e 16 in different methods as follows.
Given Input numbers are 400, 512, 448, 976
In the factoring method, we have to find the divisors of all numbers
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
GCD of numbers is the greatest common divisor
So, the GCD (400, 512, 448, 976) = 16.
Given numbers are 400, 512, 448, 976
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
The highest common occurrence is 24
Therefore, GCD of 400, 512, 448, 976 is 16.
Given numbers are 400, 512, 448, 976
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 512) = 12800
GCD(400, 512) = ( 400 x 512 ) / 12800
= 400 / 512
= 400
Step2:
LCM(16, 448) = 448
GCD(16, 448) = ( 16 x 448 ) / 448
= 16 / 448
= 16
Step3:
LCM(16, 976) = 976
GCD(16, 976) = ( 16 x 976 ) / 976
= 16 / 976
= 16
So, Greatest Common Divisor of 400, 512, 448, 976 is 16
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 512, 448, 976
The greatest common divisor of numbers 400, 512, 448, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 512, 448, 976 is 16.
1. What is the GCD of 400, 512, 448, 976?
GCD of given numbers 400, 512, 448, 976 is 16
2. How to calculate the greatest common divisor of 400, 512, 448, 976?
We can find the highest common divisor of 400, 512, 448, 976 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 400, 512, 448, 976 i.e 16.
3. How can I use the GCD of 400, 512, 448, 976Calculator?
Out the numbers 400, 512, 448, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.