GCD of 564, 795, 78, 489 Calculator

Given Input numbers are 564, 795, 78, 489

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

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 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

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 (564, 795, 78, 489) = 3.

Given numbers are 564, 795, 78, 489

The list of prime factors of all numbers are

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

Prime factors of 795 are 3 x 5 x 53

Prime factors of 78 are 2 x 3 x 13

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 564, 795, 78, 489 is 3.

Given numbers are 564, 795, 78, 489

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

Apply this formula for all numbers.

Step1:

LCM(564, 795) = 149460

GCD(564, 795) = ( 564 x 795 ) / 149460

= 564 / 795

= 564

Step2:

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

= 3 / 78

= 3

Step3:

LCM(3, 489) = 489

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

= 3 / 489

= 3

So, Greatest Common Divisor of 564, 795, 78, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 331, 304, 22, 473
• GCD of 801, 344, 59, 447
• GCD of 544, 288, 72, 202
• GCD of 947, 251, 11, 963
• GCD of 689, 191, 62, 583

Given numbers are 564, 795, 78, 489
The greatest common divisor of numbers 564, 795, 78, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 795, 78, 489 is 3.

1. What is the GCD of 564, 795, 78, 489?

GCD of given numbers 564, 795, 78, 489 is 3

2. How to calculate the greatest common divisor of 564, 795, 78, 489?

We can find the highest common divisor of 564, 795, 78, 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 564, 795, 78, 489 i.e 3.

3. How can I use the GCD of 564, 795, 78, 489Calculator?

Out the numbers 564, 795, 78, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.