GCD of 442, 920, 930, 854 Calculator

Given Input numbers are 442, 920, 930, 854

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (442, 920, 930, 854) = 2.

Given numbers are 442, 920, 930, 854

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 442, 920, 930, 854 is 2.

Given numbers are 442, 920, 930, 854

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

Apply this formula for all numbers.

Step1:

LCM(442, 920) = 203320

GCD(442, 920) = ( 442 x 920 ) / 203320

= 442 / 920

= 442

Step2:

LCM(2, 930) = 930

GCD(2, 930) = ( 2 x 930 ) / 930

= 2 / 930

= 2

Step3:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2

So, Greatest Common Divisor of 442, 920, 930, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 381, 832, 699
• GCD of 403, 291, 398, 929
• GCD of 299, 128, 632, 829
• GCD of 251, 154, 268, 746
• GCD of 289, 765, 732, 206

Given numbers are 442, 920, 930, 854
The greatest common divisor of numbers 442, 920, 930, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 920, 930, 854 is 2.

1. What is the GCD of 442, 920, 930, 854?

GCD of given numbers 442, 920, 930, 854 is 2

2. How to calculate the greatest common divisor of 442, 920, 930, 854?

We can find the highest common divisor of 442, 920, 930, 854 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 442, 920, 930, 854 i.e 2.

3. How can I use the GCD of 442, 920, 930, 854Calculator?

Out the numbers 442, 920, 930, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.