GCD of 882, 261, 489, 870 Calculator

Given Input numbers are 882, 261, 489, 870

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

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

GCD of numbers is the greatest common divisor

So, the GCD (882, 261, 489, 870) = 3.

Given numbers are 882, 261, 489, 870

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 261 are 3 x 3 x 29

Prime factors of 489 are 3 x 163

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

The highest common occurrence is 3¹

Therefore, GCD of 882, 261, 489, 870 is 3.

Given numbers are 882, 261, 489, 870

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

Apply this formula for all numbers.

Step1:

LCM(882, 261) = 25578

GCD(882, 261) = ( 882 x 261 ) / 25578

= 882 / 261

= 882

Step2:

LCM(9, 489) = 1467

GCD(9, 489) = ( 9 x 489 ) / 1467

= 9 / 489

= 9

Step3:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

So, Greatest Common Divisor of 882, 261, 489, 870 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 843, 536, 699
• GCD of 673, 646, 146, 614
• GCD of 747, 468, 674, 460
• GCD of 165, 194, 492, 181
• GCD of 631, 492, 432, 870

Given numbers are 882, 261, 489, 870
The greatest common divisor of numbers 882, 261, 489, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 261, 489, 870 is 3.

1. What is the GCD of 882, 261, 489, 870?

GCD of given numbers 882, 261, 489, 870 is 3

2. How to calculate the greatest common divisor of 882, 261, 489, 870?

We can find the highest common divisor of 882, 261, 489, 870 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 882, 261, 489, 870 i.e 3.

3. How can I use the GCD of 882, 261, 489, 870Calculator?

Out the numbers 882, 261, 489, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.