GCD of 870, 230, 802, 884 Calculator

Given Input numbers are 870, 230, 802, 884

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 802 :

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

1, 2, 401, 802

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

GCD of numbers is the greatest common divisor

So, the GCD (870, 230, 802, 884) = 2.

Given numbers are 870, 230, 802, 884

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 230 are 2 x 5 x 23

Prime factors of 802 are 2 x 401

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

The highest common occurrence is 2¹

Therefore, GCD of 870, 230, 802, 884 is 2.

Given numbers are 870, 230, 802, 884

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

Apply this formula for all numbers.

Step1:

LCM(870, 230) = 20010

GCD(870, 230) = ( 870 x 230 ) / 20010

= 870 / 230

= 870

Step2:

LCM(10, 802) = 4010

GCD(10, 802) = ( 10 x 802 ) / 4010

= 10 / 802

= 10

Step3:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2

So, Greatest Common Divisor of 870, 230, 802, 884 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 199, 948, 674
• GCD of 363, 840, 996, 365
• GCD of 400, 508, 839, 942
• GCD of 574, 654, 637, 726
• GCD of 930, 137, 498, 296

Given numbers are 870, 230, 802, 884
The greatest common divisor of numbers 870, 230, 802, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 230, 802, 884 is 2.

1. What is the GCD of 870, 230, 802, 884?

GCD of given numbers 870, 230, 802, 884 is 2

2. How to calculate the greatest common divisor of 870, 230, 802, 884?

We can find the highest common divisor of 870, 230, 802, 884 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 870, 230, 802, 884 i.e 2.

3. How can I use the GCD of 870, 230, 802, 884Calculator?

Out the numbers 870, 230, 802, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.