GCD of 442, 880, 890, 900 Calculator

Given Input numbers are 442, 880, 890, 900

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (442, 880, 890, 900) = 2.

Given numbers are 442, 880, 890, 900

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 890 are 2 x 5 x 89

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 442, 880, 890, 900 is 2.

Given numbers are 442, 880, 890, 900

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

Apply this formula for all numbers.

Step1:

LCM(442, 880) = 194480

GCD(442, 880) = ( 442 x 880 ) / 194480

= 442 / 880

= 442

Step2:

LCM(2, 890) = 890

GCD(2, 890) = ( 2 x 890 ) / 890

= 2 / 890

= 2

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 442, 880, 890, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 539, 416, 177
• GCD of 452, 641, 239, 338
• GCD of 775, 555, 662, 197
• GCD of 235, 356, 268, 380
• GCD of 368, 810, 232, 181

Given numbers are 442, 880, 890, 900
The greatest common divisor of numbers 442, 880, 890, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 880, 890, 900 is 2.

1. What is the GCD of 442, 880, 890, 900?

GCD of given numbers 442, 880, 890, 900 is 2

2. How to calculate the greatest common divisor of 442, 880, 890, 900?

We can find the highest common divisor of 442, 880, 890, 900 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, 880, 890, 900 i.e 2.

3. How can I use the GCD of 442, 880, 890, 900Calculator?

Out the numbers 442, 880, 890, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.