GCD of 476, 300, 884, 802 Calculator

Given Input numbers are 476, 300, 884, 802

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 802 :

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

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (476, 300, 884, 802) = 2.

Given numbers are 476, 300, 884, 802

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 802 are 2 x 401

The highest common occurrence is 2¹

Therefore, GCD of 476, 300, 884, 802 is 2.

Given numbers are 476, 300, 884, 802

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

Apply this formula for all numbers.

Step1:

LCM(476, 300) = 35700

GCD(476, 300) = ( 476 x 300 ) / 35700

= 476 / 300

= 476

Step2:

LCM(4, 884) = 884

GCD(4, 884) = ( 4 x 884 ) / 884

= 4 / 884

= 4

Step3:

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

= 4 / 802

= 4

So, Greatest Common Divisor of 476, 300, 884, 802 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 815, 907, 355
• GCD of 495, 777, 462, 193
• GCD of 643, 817, 932, 752
• GCD of 490, 121, 730, 340
• GCD of 696, 315, 569, 404

Given numbers are 476, 300, 884, 802
The greatest common divisor of numbers 476, 300, 884, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 300, 884, 802 is 2.

1. What is the GCD of 476, 300, 884, 802?

GCD of given numbers 476, 300, 884, 802 is 2

2. How to calculate the greatest common divisor of 476, 300, 884, 802?

We can find the highest common divisor of 476, 300, 884, 802 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 476, 300, 884, 802 i.e 2.

3. How can I use the GCD of 476, 300, 884, 802Calculator?

Out the numbers 476, 300, 884, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.