GCD of 249, 564, 696, 489 Calculator

Given Input numbers are 249, 564, 696, 489

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

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 489 :

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

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (249, 564, 696, 489) = 3.

Given numbers are 249, 564, 696, 489

The list of prime factors of all numbers are

Prime factors of 249 are 3 x 83

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 249, 564, 696, 489 is 3.

Given numbers are 249, 564, 696, 489

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

Apply this formula for all numbers.

Step1:

LCM(249, 564) = 46812

GCD(249, 564) = ( 249 x 564 ) / 46812

= 249 / 564

= 249

Step2:

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

= 3 / 696

= 3

Step3:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

So, Greatest Common Divisor of 249, 564, 696, 489 is 3

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Given numbers are 249, 564, 696, 489
The greatest common divisor of numbers 249, 564, 696, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 249, 564, 696, 489 is 3.

1. What is the GCD of 249, 564, 696, 489?

GCD of given numbers 249, 564, 696, 489 is 3

2. How to calculate the greatest common divisor of 249, 564, 696, 489?

We can find the highest common divisor of 249, 564, 696, 489 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 249, 564, 696, 489 i.e 3.

3. How can I use the GCD of 249, 564, 696, 489Calculator?

Out the numbers 249, 564, 696, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.