GCD of 231, 489, 870, 732 Calculator

Given Input numbers are 231, 489, 870, 732

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (231, 489, 870, 732) = 3.

Given numbers are 231, 489, 870, 732

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 489 are 3 x 163

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

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 3¹

Therefore, GCD of 231, 489, 870, 732 is 3.

Given numbers are 231, 489, 870, 732

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

Apply this formula for all numbers.

Step1:

LCM(231, 489) = 37653

GCD(231, 489) = ( 231 x 489 ) / 37653

= 231 / 489

= 231

Step2:

LCM(3, 870) = 870

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

= 3 / 870

= 3

Step3:

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

= 3 / 732

= 3

So, Greatest Common Divisor of 231, 489, 870, 732 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 744, 866, 144
• GCD of 577, 845, 586, 663
• GCD of 302, 736, 479, 161
• GCD of 220, 820, 974, 183
• GCD of 627, 997, 776, 655

Given numbers are 231, 489, 870, 732
The greatest common divisor of numbers 231, 489, 870, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 489, 870, 732 is 3.

1. What is the GCD of 231, 489, 870, 732?

GCD of given numbers 231, 489, 870, 732 is 3

2. How to calculate the greatest common divisor of 231, 489, 870, 732?

We can find the highest common divisor of 231, 489, 870, 732 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 231, 489, 870, 732 i.e 3.

3. How can I use the GCD of 231, 489, 870, 732Calculator?

Out the numbers 231, 489, 870, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.