GCD of 564, 714, 624, 795 Calculator

Given Input numbers are 564, 714, 624, 795

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 795 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (564, 714, 624, 795) = 3.

Given numbers are 564, 714, 624, 795

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 795 are 3 x 5 x 53

The highest common occurrence is 3¹

Therefore, GCD of 564, 714, 624, 795 is 3.

Given numbers are 564, 714, 624, 795

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

Apply this formula for all numbers.

Step1:

LCM(564, 714) = 67116

GCD(564, 714) = ( 564 x 714 ) / 67116

= 564 / 714

= 564

Step2:

LCM(6, 624) = 624

GCD(6, 624) = ( 6 x 624 ) / 624

= 6 / 624

= 6

Step3:

LCM(6, 795) = 1590

GCD(6, 795) = ( 6 x 795 ) / 1590

= 6 / 795

= 6

So, Greatest Common Divisor of 564, 714, 624, 795 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 769, 858, 568
• GCD of 881, 905, 589, 904
• GCD of 612, 936, 922, 249
• GCD of 197, 668, 181, 191
• GCD of 820, 172, 264, 581

Given numbers are 564, 714, 624, 795
The greatest common divisor of numbers 564, 714, 624, 795 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 714, 624, 795 is 3.

1. What is the GCD of 564, 714, 624, 795?

GCD of given numbers 564, 714, 624, 795 is 3

2. How to calculate the greatest common divisor of 564, 714, 624, 795?

We can find the highest common divisor of 564, 714, 624, 795 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, 714, 624, 795 i.e 3.

3. How can I use the GCD of 564, 714, 624, 795Calculator?

Out the numbers 564, 714, 624, 795 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.