GCD of 400, 512, 448, 976 Calculator

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.

• GCD of 897, 748, 284, 858
• GCD of 435, 397, 866, 625
• GCD of 728, 787, 729, 611
• GCD of 562, 629, 770, 686
• GCD of 192, 119, 923, 582

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.