GCD of 460, 894, 448, 400 Calculator

Given Input numbers are 460, 894, 448, 400

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 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

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 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

GCD of numbers is the greatest common divisor

So, the GCD (460, 894, 448, 400) = 2.

Given numbers are 460, 894, 448, 400

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 894 are 2 x 3 x 149

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 460, 894, 448, 400 is 2.

Given numbers are 460, 894, 448, 400

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(460, 894) = 205620

GCD(460, 894) = ( 460 x 894 ) / 205620

= 460 / 894

= 460

Step2:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 460, 894, 448, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 108, 376, 422
• GCD of 978, 361, 838, 460
• GCD of 473, 445, 387, 314
• GCD of 308, 920, 994, 757
• GCD of 399, 912, 357, 940

Given numbers are 460, 894, 448, 400
The greatest common divisor of numbers 460, 894, 448, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 894, 448, 400 is 2.

1. What is the GCD of 460, 894, 448, 400?

GCD of given numbers 460, 894, 448, 400 is 2

2. How to calculate the greatest common divisor of 460, 894, 448, 400?

We can find the highest common divisor of 460, 894, 448, 400 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, 894, 448, 400 i.e 2.

3. How can I use the GCD of 460, 894, 448, 400Calculator?

Out the numbers 460, 894, 448, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.