GCD of 894, 380, 924, 464 Calculator

Given Input numbers are 894, 380, 924, 464

In the factoring method, we have to find the divisors of all numbers

Divisors of 894 :

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

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (894, 380, 924, 464) = 2.

Given numbers are 894, 380, 924, 464

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 894, 380, 924, 464 is 2.

Given numbers are 894, 380, 924, 464

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

Apply this formula for all numbers.

Step1:

LCM(894, 380) = 169860

GCD(894, 380) = ( 894 x 380 ) / 169860

= 894 / 380

= 894

Step2:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 894, 380, 924, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 298, 120, 276
• GCD of 987, 443, 630, 317
• GCD of 311, 763, 545, 745
• GCD of 502, 442, 338, 857
• GCD of 821, 551, 347, 699

Given numbers are 894, 380, 924, 464
The greatest common divisor of numbers 894, 380, 924, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 380, 924, 464 is 2.

1. What is the GCD of 894, 380, 924, 464?

GCD of given numbers 894, 380, 924, 464 is 2

2. How to calculate the greatest common divisor of 894, 380, 924, 464?

We can find the highest common divisor of 894, 380, 924, 464 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 894, 380, 924, 464 i.e 2.

3. How can I use the GCD of 894, 380, 924, 464Calculator?

Out the numbers 894, 380, 924, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.