GCD of 802, 382, 900, 854 Calculator

Given Input numbers are 802, 382, 900, 854

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

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

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 (802, 382, 900, 854) = 2.

Given numbers are 802, 382, 900, 854

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 382 are 2 x 191

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

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 2¹

Therefore, GCD of 802, 382, 900, 854 is 2.

Given numbers are 802, 382, 900, 854

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

Apply this formula for all numbers.

Step1:

LCM(802, 382) = 153182

GCD(802, 382) = ( 802 x 382 ) / 153182

= 802 / 382

= 802

Step2:

LCM(2, 900) = 900

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

= 2 / 900

= 2

Step3:

LCM(2, 854) = 854

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

= 2 / 854

= 2

So, Greatest Common Divisor of 802, 382, 900, 854 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 980, 609, 656
• GCD of 913, 104, 317, 773
• GCD of 347, 583, 716, 603
• GCD of 373, 515, 642, 612
• GCD of 790, 663, 942, 849

Given numbers are 802, 382, 900, 854
The greatest common divisor of numbers 802, 382, 900, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 382, 900, 854 is 2.

1. What is the GCD of 802, 382, 900, 854?

GCD of given numbers 802, 382, 900, 854 is 2

2. How to calculate the greatest common divisor of 802, 382, 900, 854?

We can find the highest common divisor of 802, 382, 900, 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 802, 382, 900, 854 i.e 2.

3. How can I use the GCD of 802, 382, 900, 854Calculator?

Out the numbers 802, 382, 900, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.